Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920a |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
3075200000 = 210 · 55 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4208,105032] |
[a1,a2,a3,a4,a6] |
Generators |
[22:152:1] |
Generators of the group modulo torsion |
j |
8047314026496/3003125 |
j-invariant |
L |
3.8805564994474 |
L(r)(E,1)/r! |
Ω |
1.3963655539757 |
Real period |
R |
2.7790405516657 |
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 |
9920t1 620b1 89280cg1 49600c1 |
Quadratic twists by: -4 8 -3 5 |