Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456bw |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-21316939776 = -1 · 212 · 36 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- -4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,7058] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:88:1] |
Generators of the group modulo torsion |
j |
-117649/7139 |
j-invariant |
L |
6.9608302271705 |
L(r)(E,1)/r! |
Ω |
1.0005626535635 |
Real period |
R |
0.86961448627106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5841e1 10384c1 |
Quadratic twists by: -4 -3 |