Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3696s |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-299376 = -1 · 24 · 35 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 3 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22,-41] |
[a1,a2,a3,a4,a6] |
j |
-76995328/18711 |
j-invariant |
L |
1.0841647128408 |
L(r)(E,1)/r! |
Ω |
1.0841647128408 |
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 |
924e1 14784cm1 11088bt1 92400go1 |
Quadratic twists by: -4 8 -3 5 |