Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424cv |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-201987422171136 = -1 · 212 · 39 · 7 · 713 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 5 -5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7337,722871] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2556:1] |
Generators of the group modulo torsion |
j |
-10665433505728/49313335491 |
j-invariant |
L |
6.6816078801134 |
L(r)(E,1)/r! |
Ω |
0.49036150515644 |
Real period |
R |
0.25233114344351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424bm1 47712e1 |
Quadratic twists by: -4 8 |