Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515s |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
11803968 |
Modular degree for the optimal curve |
Δ |
2.3797791102415E+26 |
Discriminant |
Eigenvalues |
2 0 5- 7- -5 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-751932767,7901491202405] |
[a1,a2,a3,a4,a6] |
j |
1134964776505135104/5744580078125 |
j-invariant |
L |
3.6928158251649 |
L(r)(E,1)/r! |
Ω |
0.055951754926741 |
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 |
92575k1 129605o1 18515f1 |
Quadratic twists by: 5 -7 -23 |