Atkin-Lehner |
2- 3+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97704h |
Isogeny class |
Conductor |
97704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-75036672 = -1 · 211 · 33 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 3 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,486] |
[a1,a2,a3,a4,a6] |
j |
-843750/1357 |
j-invariant |
L |
3.4747814110407 |
L(r)(E,1)/r! |
Ω |
1.7373906902436 |
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 |
97704a1 |
Quadratic twists by: -3 |