Atkin-Lehner |
3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46893h |
Isogeny class |
Conductor |
46893 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
1194483721479741 = 310 · 78 · 112 · 29 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 11- 5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-149319,-22196086] |
[a1,a2,a3,a4,a6] |
j |
63868617981952/207202941 |
j-invariant |
L |
4.8583103069795 |
L(r)(E,1)/r! |
Ω |
0.24291551535748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46893g1 |
Quadratic twists by: -7 |