Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640n |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-1324476389600000 = -1 · 28 · 55 · 73 · 136 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -5 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69628,-7285252] |
[a1,a2,a3,a4,a6] |
j |
-30211716096/1071875 |
j-invariant |
L |
3.9594321936338 |
L(r)(E,1)/r! |
Ω |
0.14664564589762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47320s1 560b1 |
Quadratic twists by: -4 13 |