Atkin-Lehner |
2+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46624c |
Isogeny class |
Conductor |
46624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
745984 = 29 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ -1 1 -3 0 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] [20:82:1] |
Generators of the group modulo torsion |
j |
14172488/1457 |
j-invariant |
L |
7.6413075164452 |
L(r)(E,1)/r! |
Ω |
1.9070234410629 |
Real period |
R |
2.0034644965311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46624a1 93248bg1 |
Quadratic twists by: -4 8 |