Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120a |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1931005520 = 24 · 5 · 176 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-578,-4913] |
[a1,a2,a3,a4,a6] |
Generators |
[178568:3326679:512] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
3.5346104567428 |
L(r)(E,1)/r! |
Ω |
0.97931316987591 |
Real period |
R |
7.2185498275096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11560a1 92480dv1 115600b1 80a2 |
Quadratic twists by: -4 8 5 17 |