Atkin-Lehner |
2+ 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410h |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
159840 |
Modular degree for the optimal curve |
Δ |
-919126437317836800 = -1 · 237 · 3 · 52 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 1 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-81057,46939701] |
[a1,a2,a3,a4,a6] |
j |
-58898422343082781081/919126437317836800 |
j-invariant |
L |
0.47264711597582 |
L(r)(E,1)/r! |
Ω |
0.23632355798791 |
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 |
59280cc1 22230bk1 37050ch1 96330cf1 |
Quadratic twists by: -4 -3 5 13 |