Atkin-Lehner |
2- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12710m |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
252166400 = 28 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20527,1137079] |
[a1,a2,a3,a4,a6] |
j |
956489758026943041/252166400 |
j-invariant |
L |
2.8003061662504 |
L(r)(E,1)/r! |
Ω |
1.4001530831252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101680be1 114390e1 63550c1 |
Quadratic twists by: -4 -3 5 |