Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71656a |
Isogeny class |
Conductor |
71656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
11067834422528 = 28 · 138 · 53 |
Discriminant |
Eigenvalues |
2+ 0 0 -1 -4 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43940,-3541564] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:18:1] |
Generators of the group modulo torsion |
j |
44928000/53 |
j-invariant |
L |
3.9543999317317 |
L(r)(E,1)/r! |
Ω |
0.32977315848618 |
Real period |
R |
2.9978182184607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71656d1 |
Quadratic twists by: 13 |