Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3690q |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
49017960 = 23 · 36 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1928,-32093] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:13:1] |
Generators of the group modulo torsion |
j |
1086691018041/67240 |
j-invariant |
L |
4.778570478666 |
L(r)(E,1)/r! |
Ω |
0.72051331225561 |
Real period |
R |
1.1053625235844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29520bj2 118080cd2 410a2 18450j2 |
Quadratic twists by: -4 8 -3 5 |