Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320m |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-29235789040640 = -1 · 210 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 0 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9520,445340] |
[a1,a2,a3,a4,a6] |
j |
-114244/35 |
j-invariant |
L |
1.2547314702739 |
L(r)(E,1)/r! |
Ω |
0.62736573519278 |
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 |
94640bg1 47320u1 |
Quadratic twists by: -4 13 |