Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71656g |
Isogeny class |
Conductor |
71656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
116904001087952 = 24 · 1310 · 53 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12506,-138411] |
[a1,a2,a3,a4,a6] |
Generators |
[1170:8619:8] |
Generators of the group modulo torsion |
j |
2800908288/1513733 |
j-invariant |
L |
3.9571634806038 |
L(r)(E,1)/r! |
Ω |
0.4810230884665 |
Real period |
R |
4.1132781091918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5512b1 |
Quadratic twists by: 13 |