Atkin-Lehner |
2+ 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624b |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-4500200187648 = -1 · 28 · 39 · 114 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3807,136350] |
[a1,a2,a3,a4,a6] |
Generators |
[33:216:1] |
Generators of the group modulo torsion |
j |
-1210991472/893101 |
j-invariant |
L |
2.6607181442311 |
L(r)(E,1)/r! |
Ω |
0.71265559010788 |
Real period |
R |
1.8667629958803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999075055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48312k1 96624e1 |
Quadratic twists by: -4 -3 |