Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128r |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.8527838285664E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1772204,883547616] |
[a1,a2,a3,a4,a6] |
Generators |
[4200:-259896:1] |
Generators of the group modulo torsion |
j |
2404501925826853734352/72374368303373409 |
j-invariant |
L |
6.1907698030976 |
L(r)(E,1)/r! |
Ω |
0.21673537225168 |
Real period |
R |
1.1901552529977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74256k2 111384cm2 |
Quadratic twists by: -4 -3 |