Atkin-Lehner |
3+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
58575f |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
49440 |
Modular degree for the optimal curve |
Δ |
857596575 = 3 · 52 · 115 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11- 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8575,-309230] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:28:1] |
Generators of the group modulo torsion |
j |
2789749590390625/34303863 |
j-invariant |
L |
4.7399434609325 |
L(r)(E,1)/r! |
Ω |
0.49611773068984 |
Real period |
R |
1.9108139733329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58575y1 |
Quadratic twists by: 5 |