Atkin-Lehner |
2- 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722bi |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
2190812878722334464 = 28 · 39 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -3 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-344792,31727323] |
[a1,a2,a3,a4,a6] |
j |
21717639/10496 |
j-invariant |
L |
7.4072254350885 |
L(r)(E,1)/r! |
Ω |
0.23147582936448 |
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 |
124722g1 124722h1 |
Quadratic twists by: -3 13 |