Atkin-Lehner |
3- 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
67575h |
Isogeny class |
Conductor |
67575 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
635943890390625 = 312 · 57 · 172 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 4 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33813,2059992] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:1989:1] |
Generators of the group modulo torsion |
j |
273624891501961/40700408985 |
j-invariant |
L |
4.6085682864587 |
L(r)(E,1)/r! |
Ω |
0.49179989688379 |
Real period |
R |
0.78090166277178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13515c1 |
Quadratic twists by: 5 |