Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93456v |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
95531470848 = 212 · 33 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- -6 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1995,30906] |
[a1,a2,a3,a4,a6] |
Generators |
[37:88:1] |
Generators of the group modulo torsion |
j |
7940149875/863819 |
j-invariant |
L |
3.9675253232817 |
L(r)(E,1)/r! |
Ω |
1.0349066394921 |
Real period |
R |
0.47921295088957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5841b1 93456t1 |
Quadratic twists by: -4 -3 |