Atkin-Lehner |
5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7595c |
Isogeny class |
Conductor |
7595 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-11397246875 = -1 · 55 · 76 · 31 |
Discriminant |
Eigenvalues |
-2 1 5+ 7- 2 6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,474,-3104] |
[a1,a2,a3,a4,a6] |
j |
99897344/96875 |
j-invariant |
L |
1.390646835181 |
L(r)(E,1)/r! |
Ω |
0.69532341759052 |
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 |
121520bw1 68355bb1 37975e1 155a1 |
Quadratic twists by: -4 -3 5 -7 |