Atkin-Lehner |
3+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73515d |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
776041342769745 = 38 · 5 · 138 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 6 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-81715,-8924440] |
[a1,a2,a3,a4,a6] |
j |
12501706118329/160777305 |
j-invariant |
L |
1.1303734344561 |
L(r)(E,1)/r! |
Ω |
0.28259336148969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5655a1 |
Quadratic twists by: 13 |