Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3690t |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1836380160 = -1 · 212 · 37 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77,-2059] |
[a1,a2,a3,a4,a6] |
j |
-68417929/2519040 |
j-invariant |
L |
3.8860728965441 |
L(r)(E,1)/r! |
Ω |
0.64767881609069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29520bv1 118080v1 1230c1 18450g1 |
Quadratic twists by: -4 8 -3 5 |