Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680s |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
296032320 = 26 · 39 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2133,-37908] |
[a1,a2,a3,a4,a6] |
Generators |
[405783:1421712:6859] |
Generators of the group modulo torsion |
j |
851971392/235 |
j-invariant |
L |
5.8637162818168 |
L(r)(E,1)/r! |
Ω |
0.70252054501167 |
Real period |
R |
8.3466829879135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67680a1 67680b1 |
Quadratic twists by: -4 -3 |