Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7950bp |
Isogeny class |
Conductor |
7950 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
4005884160000000 = 214 · 310 · 57 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-259338,50720292] |
[a1,a2,a3,a4,a6] |
Generators |
[372:-2586:1] |
Generators of the group modulo torsion |
j |
123453174678896089/256376586240 |
j-invariant |
L |
7.0506428962336 |
L(r)(E,1)/r! |
Ω |
0.44057573337173 |
Real period |
R |
0.1143089170792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600bk1 23850bd1 1590c1 |
Quadratic twists by: -4 -3 5 |