Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480bb |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
503091200 = 212 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -6 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-521,4279] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:48:1] [-23:68:1] [-21:80:1] |
Generators of the group modulo torsion |
j |
778688/25 |
j-invariant |
L |
9.2933197643281 |
L(r)(E,1)/r! |
Ω |
1.6446102702271 |
Real period |
R |
1.4126933189921 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999999416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92480s1 46240l1 92480cb1 |
Quadratic twists by: -4 8 17 |