Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51425j |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
12153173828125 = 511 · 114 · 17 |
Discriminant |
Eigenvalues |
2 -1 5+ 0 11- -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19158,-1000407] |
[a1,a2,a3,a4,a6] |
Generators |
[2826:48121:8] [-582:435:8] |
Generators of the group modulo torsion |
j |
3399430144/53125 |
j-invariant |
L |
14.872634116058 |
L(r)(E,1)/r! |
Ω |
0.40618270923574 |
Real period |
R |
3.0513021557956 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10285h1 51425z1 |
Quadratic twists by: 5 -11 |