Atkin-Lehner |
3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7623i |
Isogeny class |
Conductor |
7623 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
2088303705873 = 37 · 72 · 117 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37049,2753160] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:2198:1] |
Generators of the group modulo torsion |
j |
4354703137/1617 |
j-invariant |
L |
2.7504467999361 |
L(r)(E,1)/r! |
Ω |
0.81090784144025 |
Real period |
R |
1.6959059090186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121968fv1 2541b1 53361bp1 693d1 |
Quadratic twists by: -4 -3 -7 -11 |