Atkin-Lehner |
2+ 13+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11362a |
Isogeny class |
Conductor |
11362 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
78136474 = 2 · 132 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ -1 1 -4 -3 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-117,-293] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:16:1] [-3:8:1] |
Generators of the group modulo torsion |
j |
179501589721/78136474 |
j-invariant |
L |
3.8782313214845 |
L(r)(E,1)/r! |
Ω |
1.5088094125294 |
Real period |
R |
0.42839863109718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90896l1 102258u1 |
Quadratic twists by: -4 -3 |