Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576ca |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-53349936267264 = -1 · 231 · 3 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8664,161904] |
[a1,a2,a3,a4,a6] |
j |
358321516679/265814016 |
j-invariant |
L |
1.6093787303192 |
L(r)(E,1)/r! |
Ω |
0.40234468257909 |
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 |
3822n1 122304ha1 91728fg1 30576cj1 |
Quadratic twists by: -4 8 -3 -7 |