Atkin-Lehner |
3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15975j |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1012860687174075 = -1 · 313 · 52 · 714 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 6 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1605,-1531404] |
[a1,a2,a3,a4,a6] |
j |
-25088880640/55575346347 |
j-invariant |
L |
0.89366213285596 |
L(r)(E,1)/r! |
Ω |
0.22341553321399 |
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 |
5325p1 15975s1 |
Quadratic twists by: -3 5 |