Atkin-Lehner |
2- 3- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42504t |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-119691264 = -1 · 211 · 3 · 7 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,-672] |
[a1,a2,a3,a4,a6] |
j |
-48275138/58443 |
j-invariant |
L |
1.4566322711177 |
L(r)(E,1)/r! |
Ω |
0.72831613551792 |
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 |
85008j1 127512h1 |
Quadratic twists by: -4 -3 |