Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960m |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-217421875000000 = -1 · 26 · 513 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7418,-750842] |
[a1,a2,a3,a4,a6] |
Generators |
[217539:5419567:343] |
Generators of the group modulo torsion |
j |
-705349276356096/3397216796875 |
j-invariant |
L |
4.8576094435219 |
L(r)(E,1)/r! |
Ω |
0.23264004723213 |
Real period |
R |
10.440183232972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960b1 40480i1 |
Quadratic twists by: -4 8 |