Atkin-Lehner |
5- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7955c |
Isogeny class |
Conductor |
7955 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
1710325 = 52 · 37 · 432 |
Discriminant |
Eigenvalues |
0 1 5- 3 -1 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-75,-269] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] |
Generators of the group modulo torsion |
j |
47280848896/1710325 |
j-invariant |
L |
4.7220820553813 |
L(r)(E,1)/r! |
Ω |
1.6241185257641 |
Real period |
R |
0.72686844901909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127280l1 71595b1 39775b1 |
Quadratic twists by: -4 -3 5 |