Atkin-Lehner |
2- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
45100f |
Isogeny class |
Conductor |
45100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
406802000 = 24 · 53 · 112 · 412 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-753,7648] |
[a1,a2,a3,a4,a6] |
Generators |
[23:55:1] [-21:121:1] |
Generators of the group modulo torsion |
j |
23640424448/203401 |
j-invariant |
L |
5.7628444484304 |
L(r)(E,1)/r! |
Ω |
1.6915296922784 |
Real period |
R |
0.56781390189171 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45100e1 |
Quadratic twists by: 5 |