Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456u |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
50529042432 = 218 · 33 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7011,-225694] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:14:1] |
Generators of the group modulo torsion |
j |
344619542331/456896 |
j-invariant |
L |
4.7776084406048 |
L(r)(E,1)/r! |
Ω |
0.52178205532524 |
Real period |
R |
2.2890823769476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11682a1 93456w1 |
Quadratic twists by: -4 -3 |