Atkin-Lehner |
5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7475h |
Isogeny class |
Conductor |
7475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
6316375 = 53 · 133 · 23 |
Discriminant |
Eigenvalues |
-1 -1 5- 1 6 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] |
Generators of the group modulo torsion |
j |
172808693/50531 |
j-invariant |
L |
2.3707511865485 |
L(r)(E,1)/r! |
Ω |
1.7686137109072 |
Real period |
R |
0.22340955253333 |
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 |
119600cp1 67275bf1 7475f1 97175o1 |
Quadratic twists by: -4 -3 5 13 |