Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
93632be |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
73834169024 = 26 · 74 · 113 · 192 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11- 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1464,-16666] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:231:8] |
Generators of the group modulo torsion |
j |
5425797533248/1153658891 |
j-invariant |
L |
8.7859251826171 |
L(r)(E,1)/r! |
Ω |
0.78338672457126 |
Real period |
R |
1.8692183804412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93632q1 46816j2 |
Quadratic twists by: -4 8 |