Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680dv |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-28868400000000 = -1 · 210 · 38 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6312,322616] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:675:1] |
Generators of the group modulo torsion |
j |
-37256083456/38671875 |
j-invariant |
L |
6.628716551845 |
L(r)(E,1)/r! |
Ω |
0.603495054246 |
Real period |
R |
0.68649242703062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680bf1 7920d1 10560bh1 |
Quadratic twists by: -4 8 -3 |