Atkin-Lehner |
2+ 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39664b |
Isogeny class |
Conductor |
39664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
42519808 = 28 · 37 · 672 |
Discriminant |
Eigenvalues |
2+ -1 4 1 5 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252521,-48758027] |
[a1,a2,a3,a4,a6] |
j |
6956294631734754304/166093 |
j-invariant |
L |
3.833518304812 |
L(r)(E,1)/r! |
Ω |
0.21297323916248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19832e1 |
Quadratic twists by: -4 |