Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400bg |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
605552640 |
Modular degree for the optimal curve |
Δ |
-7.7174033676874E+34 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 5 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,89898677700,-8426621283765500] |
[a1,a2,a3,a4,a6] |
Generators |
[2695493465941128866406907042583829927551622291180596482777567340261970700039943612180861560:1585175682226693296250454187750557851334233695893477520248259706914811753565629860114852182250:19591069564222700023363874927481895006332597158223718583677637378855650386079347205607] |
Generators of the group modulo torsion |
j |
27554726454844416496885738496/26465717996184551883676875 |
j-invariant |
L |
6.6622537315786 |
L(r)(E,1)/r! |
Ω |
0.0059335084084186 |
Real period |
R |
140.35232768285 |
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 |
25800l1 15480i1 |
Quadratic twists by: -3 5 |