Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950bf |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
514252800 |
Modular degree for the optimal curve |
Δ |
-3.3364531109888E+31 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 11- -1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11499870817,-550033426310659] |
[a1,a2,a3,a4,a6] |
Generators |
[22629004116063401896243918459688031315007104963458564959804512472928889695198153670023291139343703379401527621515457988149909215879756542060417008975399131492116996215355812227524277701696829:12358703811694406231250040388353357338270636638797868309808837361185752445224268304776556722632684940279346857690280021062230192494927974402109871023163511146911840045987615949076045642002811548:67009637117871018327457116384599113857808172191635150399537053175318618652476327957172440151701742590691091515125265453541177381308586982519924883240909337691987973922681128002316498281] |
Generators of the group modulo torsion |
j |
-6076121652651798651688569/1205338112000000000000 |
j-invariant |
L |
8.4417230847308 |
L(r)(E,1)/r! |
Ω |
0.0072123338503454 |
Real period |
R |
292.61412671318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990bb1 10450u1 |
Quadratic twists by: 5 -11 |