Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190x |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-725091627193120 = -1 · 25 · 5 · 113 · 237 |
Discriminant |
Eigenvalues |
2- 0 5- 1 11+ 0 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14647,-1460561] |
[a1,a2,a3,a4,a6] |
j |
-2347334289/4898080 |
j-invariant |
L |
4.0711749194813 |
L(r)(E,1)/r! |
Ω |
0.20355874604303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530g1 |
Quadratic twists by: -23 |