Atkin-Lehner |
5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
93775j |
Isogeny class |
Conductor |
93775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-293046875 = -1 · 57 · 112 · 31 |
Discriminant |
Eigenvalues |
-2 -1 5+ -2 11- -1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,92,-782] |
[a1,a2,a3,a4,a6] |
Generators |
[7:12:1] |
Generators of the group modulo torsion |
j |
45056/155 |
j-invariant |
L |
1.894555238131 |
L(r)(E,1)/r! |
Ω |
0.88156768874045 |
Real period |
R |
1.0745375914015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18755d1 93775h1 |
Quadratic twists by: 5 -11 |