Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215n |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2494464 |
Modular degree for the optimal curve |
Δ |
4450374140625 = 37 · 57 · 7 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1144643558,-14905452962644] |
[a1,a2,a3,a4,a6] |
j |
227513404230478843268782269721/6104765625 |
j-invariant |
L |
1.6611618996322 |
L(r)(E,1)/r! |
Ω |
0.025955654681753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6405l1 96075v1 |
Quadratic twists by: -3 5 |