Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31584y |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-198094848 = -1 · 212 · 3 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 3 2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35,-661] |
[a1,a2,a3,a4,a6] |
Generators |
[49:348:1] |
Generators of the group modulo torsion |
j |
1124864/48363 |
j-invariant |
L |
5.0865927372263 |
L(r)(E,1)/r! |
Ω |
0.85751166133198 |
Real period |
R |
2.9659029530427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31584i1 63168f1 94752l1 |
Quadratic twists by: -4 8 -3 |