Atkin-Lehner |
5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7975d |
Isogeny class |
Conductor |
7975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-3015546875 = -1 · 57 · 113 · 29 |
Discriminant |
Eigenvalues |
-2 3 5+ -4 11- 1 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3325,-73844] |
[a1,a2,a3,a4,a6] |
j |
-260182831104/192995 |
j-invariant |
L |
1.8860516305187 |
L(r)(E,1)/r! |
Ω |
0.31434193841979 |
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 |
127600v1 71775bc1 1595b1 87725s1 |
Quadratic twists by: -4 -3 5 -11 |