Atkin-Lehner |
5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5075g |
Isogeny class |
Conductor |
5075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-22203125 = -1 · 56 · 72 · 29 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ -5 5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,-227] |
[a1,a2,a3,a4,a6] |
j |
-1/1421 |
j-invariant |
L |
1.9642350520165 |
L(r)(E,1)/r! |
Ω |
0.98211752600823 |
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 |
81200bw1 45675l1 203b1 35525l1 |
Quadratic twists by: -4 -3 5 -7 |