Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3690r |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
7472250000 = 24 · 36 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1508,-21769] |
[a1,a2,a3,a4,a6] |
j |
519912412921/10250000 |
j-invariant |
L |
3.0683293177891 |
L(r)(E,1)/r! |
Ω |
0.76708232944727 |
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 |
29520bp1 118080cp1 410c1 18450n1 |
Quadratic twists by: -4 8 -3 5 |