Atkin-Lehner |
3- 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
58575y |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
247200 |
Modular degree for the optimal curve |
Δ |
13399946484375 = 3 · 58 · 115 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 11- -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-214388,-38224983] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:150:1] |
Generators of the group modulo torsion |
j |
2789749590390625/34303863 |
j-invariant |
L |
5.3292615361826 |
L(r)(E,1)/r! |
Ω |
0.22187059413308 |
Real period |
R |
1.601312259534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58575f1 |
Quadratic twists by: 5 |