Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26712n |
Isogeny class |
Conductor |
26712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
30291408 = 24 · 36 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138,565] |
[a1,a2,a3,a4,a6] |
j |
24918016/2597 |
j-invariant |
L |
4.0555943558075 |
L(r)(E,1)/r! |
Ω |
2.0277971779036 |
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 |
53424c1 2968b1 |
Quadratic twists by: -4 -3 |