Atkin-Lehner |
2- 3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37518k |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
379644301861812 = 22 · 312 · 136 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-135964,-19330615] |
[a1,a2,a3,a4,a6] |
j |
57588477431113/78653268 |
j-invariant |
L |
1.9891574546808 |
L(r)(E,1)/r! |
Ω |
0.248644681838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112554b4 222c3 |
Quadratic twists by: -3 13 |