Atkin-Lehner |
5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
575c |
Isogeny class |
Conductor |
575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
280 |
Modular degree for the optimal curve |
Δ |
-44921875 = -1 · 59 · 23 |
Discriminant |
Eigenvalues |
2 2 5- 1 0 2 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-458,3943] |
[a1,a2,a3,a4,a6] |
j |
-5451776/23 |
j-invariant |
L |
4.0647452974081 |
L(r)(E,1)/r! |
Ω |
2.032372648704 |
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 |
9200bj1 36800bk1 5175z1 575e1 |
Quadratic twists by: -4 8 -3 5 |