Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680cf |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
61739295886540800 = 236 · 33 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100332,2591056] |
[a1,a2,a3,a4,a6] |
j |
15781142246787/8722841600 |
j-invariant |
L |
3.6475463355674 |
L(r)(E,1)/r! |
Ω |
0.30396219463037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680e1 7920u1 31680cb3 |
Quadratic twists by: -4 8 -3 |