Atkin-Lehner |
2- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
127088k |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
-12079842504704 = -1 · 212 · 137 · 47 |
Discriminant |
Eigenvalues |
2- -3 2 2 -3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2704,-175760] |
[a1,a2,a3,a4,a6] |
j |
-110592/611 |
j-invariant |
L |
0.59473875621196 |
L(r)(E,1)/r! |
Ω |
0.29736919134244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7943c1 9776d1 |
Quadratic twists by: -4 13 |