Atkin-Lehner |
2- 7- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32452d |
Isogeny class |
Conductor |
32452 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8784 |
Modular degree for the optimal curve |
Δ |
129808 = 24 · 7 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 3 4 7- -2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13,5] |
[a1,a2,a3,a4,a6] |
j |
15185664/8113 |
j-invariant |
L |
8.6429094680208 |
L(r)(E,1)/r! |
Ω |
2.8809698226724 |
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 |
129808f1 |
Quadratic twists by: -4 |