Atkin-Lehner |
5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39715j |
Isogeny class |
Conductor |
39715 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
162240 |
Modular degree for the optimal curve |
Δ |
-32396745584515 = -1 · 5 · 1310 · 47 |
Discriminant |
Eigenvalues |
2 -2 5- 2 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9520,447191] |
[a1,a2,a3,a4,a6] |
j |
-692224/235 |
j-invariant |
L |
2.4801721990375 |
L(r)(E,1)/r! |
Ω |
0.6200430497769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39715d1 |
Quadratic twists by: 13 |