Atkin-Lehner |
2- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32900a |
Isogeny class |
Conductor |
32900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-101746540000000 = -1 · 28 · 57 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3467,-480063] |
[a1,a2,a3,a4,a6] |
j |
1151860736/25436635 |
j-invariant |
L |
2.3188727654337 |
L(r)(E,1)/r! |
Ω |
0.28985909568026 |
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 |
6580a1 |
Quadratic twists by: 5 |