Atkin-Lehner |
2- 3+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
123504be |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
9105702912 = 217 · 33 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 3 -4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3664,-84032] |
[a1,a2,a3,a4,a6] |
j |
1328460616657/2223072 |
j-invariant |
L |
1.2273675083841 |
L(r)(E,1)/r! |
Ω |
0.61368352317555 |
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 |
15438n1 |
Quadratic twists by: -4 |