Atkin-Lehner |
2+ 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45880a |
Isogeny class |
Conductor |
45880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
5467244320000 = 28 · 54 · 314 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -3 -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24281,-1443875] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:62:1] [-87:50:1] |
Generators of the group modulo torsion |
j |
6184453660601344/21356423125 |
j-invariant |
L |
6.365304215612 |
L(r)(E,1)/r! |
Ω |
0.38253537497555 |
Real period |
R |
0.51999310325383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91760a1 |
Quadratic twists by: -4 |