Atkin-Lehner |
2+ 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320g |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90240 |
Modular degree for the optimal curve |
Δ |
-758137600000 = -1 · 211 · 55 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5003,-142502] |
[a1,a2,a3,a4,a6] |
j |
-6762157291458/370184375 |
j-invariant |
L |
0.56586445566487 |
L(r)(E,1)/r! |
Ω |
0.28293224799492 |
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 |
39160m1 |
Quadratic twists by: -4 |