Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950g |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
9.4785599744E+18 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-587417,90077741] |
[a1,a2,a3,a4,a6] |
Generators |
[6382:87559:8] [949:19188:1] |
Generators of the group modulo torsion |
j |
809818183161/342425600 |
j-invariant |
L |
8.4748709800476 |
L(r)(E,1)/r! |
Ω |
0.20803220360295 |
Real period |
R |
5.0922830915814 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22990be1 10450w1 |
Quadratic twists by: 5 -11 |