Atkin-Lehner |
2+ 3+ 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030a |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-3.648367816704E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5734545,-5363488675] |
[a1,a2,a3,a4,a6] |
j |
-1059569277871724070723/18535628800000000 |
j-invariant |
L |
0.7796755501342 |
L(r)(E,1)/r! |
Ω |
0.048729722516173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030bd1 |
Quadratic twists by: -3 |