Atkin-Lehner |
5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58835c |
Isogeny class |
Conductor |
58835 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11592 |
Modular degree for the optimal curve |
Δ |
-2882915 = -1 · 5 · 73 · 412 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ 0 -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,14,-75] |
[a1,a2,a3,a4,a6] |
Generators |
[643650:2029537:74088] |
Generators of the group modulo torsion |
j |
167936/1715 |
j-invariant |
L |
12.49671575214 |
L(r)(E,1)/r! |
Ω |
1.2540338597099 |
Real period |
R |
9.9652139815407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58835f1 |
Quadratic twists by: 41 |