Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25284g |
Isogeny class |
Conductor |
25284 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-571130364672 = -1 · 28 · 32 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104533,12973799] |
[a1,a2,a3,a4,a6] |
j |
-4194304000000/18963 |
j-invariant |
L |
3.2478435712583 |
L(r)(E,1)/r! |
Ω |
0.81196089281459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136bj1 75852c1 3612a1 |
Quadratic twists by: -4 -3 -7 |