Atkin-Lehner |
3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67431a |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
121331497833 = 33 · 72 · 136 · 19 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2200,-36941] |
[a1,a2,a3,a4,a6] |
Generators |
[58878:5021971:8] |
Generators of the group modulo torsion |
j |
244140625/25137 |
j-invariant |
L |
4.740508248688 |
L(r)(E,1)/r! |
Ω |
0.7016901592097 |
Real period |
R |
6.7558425703917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
399b1 |
Quadratic twists by: 13 |