Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960j |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
24126750720 = 216 · 36 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-961,9025] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:108:1] [-24:133:1] |
Generators of the group modulo torsion |
j |
1499221444/368145 |
j-invariant |
L |
7.3281361489379 |
L(r)(E,1)/r! |
Ω |
1.123933704035 |
Real period |
R |
3.2600393254601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960dm1 12120i1 |
Quadratic twists by: -4 8 |