Atkin-Lehner |
2+ 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
67680b |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
406080 = 26 · 33 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237,1404] |
[a1,a2,a3,a4,a6] |
j |
851971392/235 |
j-invariant |
L |
2.9248988658151 |
L(r)(E,1)/r! |
Ω |
2.9248988628166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67680t1 67680s1 |
Quadratic twists by: -4 -3 |