Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37518h |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-104162423976 = -1 · 23 · 32 · 134 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7440,-248090] |
[a1,a2,a3,a4,a6] |
Generators |
[118:662:1] |
Generators of the group modulo torsion |
j |
-1594355615593/3647016 |
j-invariant |
L |
4.6542991572924 |
L(r)(E,1)/r! |
Ω |
0.25699448185437 |
Real period |
R |
1.0061390172247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112554y2 37518q2 |
Quadratic twists by: -3 13 |