Atkin-Lehner |
3- 5- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69615s |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
909312 |
Modular degree for the optimal curve |
Δ |
23969469163185 = 312 · 5 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2567822,-1583140044] |
[a1,a2,a3,a4,a6] |
j |
2568566247768320202649/32879930265 |
j-invariant |
L |
0.95410974380768 |
L(r)(E,1)/r! |
Ω |
0.11926371668075 |
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 |
23205a1 |
Quadratic twists by: -3 |