Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3960s |
Isogeny class |
Conductor |
3960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
176418000 = 24 · 36 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342,2349] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:55:1] |
Generators of the group modulo torsion |
j |
379275264/15125 |
j-invariant |
L |
3.6616470553571 |
L(r)(E,1)/r! |
Ω |
1.7888223763924 |
Real period |
R |
0.34115992581496 |
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 |
7920k1 31680j1 440a1 19800i1 |
Quadratic twists by: -4 8 -3 5 |