Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3690a |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-51648192000 = -1 · 29 · 39 · 53 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-555,-11899] |
[a1,a2,a3,a4,a6] |
j |
-961504803/2624000 |
j-invariant |
L |
0.91280780038349 |
L(r)(E,1)/r! |
Ω |
0.45640390019175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29520y2 118080r2 3690o1 18450bd2 |
Quadratic twists by: -4 8 -3 5 |