Atkin-Lehner |
3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065i |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1156439669175 = -1 · 32 · 52 · 77 · 792 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,318,-51561] |
[a1,a2,a3,a4,a6] |
j |
30080231/9829575 |
j-invariant |
L |
3.2575401796664 |
L(r)(E,1)/r! |
Ω |
0.407192522456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8295e1 |
Quadratic twists by: -7 |