Atkin-Lehner |
2+ 3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650z |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-13746093750 = -1 · 2 · 32 · 59 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14751201,21805431298] |
[a1,a2,a3,a4,a6] |
j |
-181750566434422804181/7038 |
j-invariant |
L |
1.8533213746967 |
L(r)(E,1)/r! |
Ω |
0.46333034360535 |
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 |
58650bw1 |
Quadratic twists by: 5 |