Atkin-Lehner |
2- 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370r |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
3523570570 = 2 · 5 · 136 · 73 |
Discriminant |
Eigenvalues |
2- -3 5+ 1 3 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-708,-6483] |
[a1,a2,a3,a4,a6] |
j |
8120601/730 |
j-invariant |
L |
1.861903986517 |
L(r)(E,1)/r! |
Ω |
0.93095271215127 |
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 |
730g1 |
Quadratic twists by: 13 |