Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592l |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-346934016 = -1 · 28 · 36 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,38972] |
[a1,a2,a3,a4,a6] |
j |
-6072054784/1859 |
j-invariant |
L |
3.3388779221933 |
L(r)(E,1)/r! |
Ω |
1.6694389610967 |
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 |
10296l1 82368dn1 2288c1 |
Quadratic twists by: -4 8 -3 |