Atkin-Lehner |
2+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
6958a |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
178751799296 = 220 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ -2 -1 7+ 4 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16784,-838050] |
[a1,a2,a3,a4,a6] |
j |
217761333851929/74448896 |
j-invariant |
L |
0.83891448461344 |
L(r)(E,1)/r! |
Ω |
0.41945724230672 |
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 |
55664d1 62622br1 6958g1 |
Quadratic twists by: -4 -3 -7 |