Atkin-Lehner |
5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7595a |
Isogeny class |
Conductor |
7595 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-3957124115 = -1 · 5 · 77 · 312 |
Discriminant |
Eigenvalues |
2 1 5+ 7- -5 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16,3021] |
[a1,a2,a3,a4,a6] |
j |
-4096/33635 |
j-invariant |
L |
4.4595247358643 |
L(r)(E,1)/r! |
Ω |
1.1148811839661 |
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 |
121520by1 68355bc1 37975f1 1085g1 |
Quadratic twists by: -4 -3 5 -7 |