Atkin-Lehner |
2- 3+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
25254k |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-849862884851712 = -1 · 218 · 33 · 232 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2410,-1402459] |
[a1,a2,a3,a4,a6] |
Generators |
[19305:2672587:1] |
Generators of the group modulo torsion |
j |
57356152012125/31476403142656 |
j-invariant |
L |
8.7662280189015 |
L(r)(E,1)/r! |
Ω |
0.2340787978546 |
Real period |
R |
6.241650318359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
25254b3 |
Quadratic twists by: -3 |