Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240cf |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
2633505177600000000 = 224 · 34 · 58 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-347280,-10548972] |
[a1,a2,a3,a4,a6] |
Generators |
[-324:8250:1] |
Generators of the group modulo torsion |
j |
1130848257596386321/642945600000000 |
j-invariant |
L |
11.23145278383 |
L(r)(E,1)/r! |
Ω |
0.212491571625 |
Real period |
R |
0.82587486965565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530s1 |
Quadratic twists by: -4 |