Atkin-Lehner |
5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5075f |
Isogeny class |
Conductor |
5075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-597068675 = -1 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
0 -3 5+ 7+ -2 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1900,-31899] |
[a1,a2,a3,a4,a6] |
j |
-30342021120000/23882747 |
j-invariant |
L |
0.3615435836999 |
L(r)(E,1)/r! |
Ω |
0.3615435836999 |
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 |
81200bx1 45675c1 5075j1 35525j1 |
Quadratic twists by: -4 -3 5 -7 |