Atkin-Lehner |
2+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25970o |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
649250000 = 24 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 3 -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254,1028] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:54:1] |
Generators of the group modulo torsion |
j |
37067235849/13250000 |
j-invariant |
L |
3.9208158983316 |
L(r)(E,1)/r! |
Ω |
1.4839710009784 |
Real period |
R |
0.22017590504051 |
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 |
129850cn1 25970a1 |
Quadratic twists by: 5 -7 |