Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
29880j |
Isogeny class |
Conductor |
29880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-119567632927104000 = -1 · 210 · 39 · 53 · 834 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-494883,135027918] |
[a1,a2,a3,a4,a6] |
Generators |
[9921:45152:27] |
Generators of the group modulo torsion |
j |
-665028211531212/5932290125 |
j-invariant |
L |
4.6904457115044 |
L(r)(E,1)/r! |
Ω |
0.33310682041913 |
Real period |
R |
3.5202264138592 |
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 |
59760b1 29880c1 |
Quadratic twists by: -4 -3 |