Atkin-Lehner |
2- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13640j |
Isogeny class |
Conductor |
13640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
5814050000 = 24 · 55 · 112 · 312 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1155,14278] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:155:1] |
Generators of the group modulo torsion |
j |
10659225266176/363378125 |
j-invariant |
L |
4.1316042850614 |
L(r)(E,1)/r! |
Ω |
1.3400532515478 |
Real period |
R |
0.30831642550692 |
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 |
27280f1 109120e1 122760m1 68200i1 |
Quadratic twists by: -4 8 -3 5 |