Atkin-Lehner |
3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3663a |
Isogeny class |
Conductor |
3663 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
296406297 = 39 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 11+ 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8480,-298430] |
[a1,a2,a3,a4,a6] |
Generators |
[622:15011:1] |
Generators of the group modulo torsion |
j |
3425878546875/15059 |
j-invariant |
L |
2.4212325725093 |
L(r)(E,1)/r! |
Ω |
0.49751331387178 |
Real period |
R |
4.8666689011127 |
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 |
58608x1 3663b1 91575f1 40293a1 |
Quadratic twists by: -4 -3 5 -11 |