Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026d |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12773376 |
Modular degree for the optimal curve |
Δ |
3.6005030259527E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1112169042,14275913072724] |
[a1,a2,a3,a4,a6] |
j |
88506348541062171875/2094601863168 |
j-invariant |
L |
0.2922418522936 |
L(r)(E,1)/r! |
Ω |
0.073060463066932 |
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 |
12342z1 37026w1 |
Quadratic twists by: -3 -11 |