Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5766h |
Isogeny class |
Conductor |
5766 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
1560 |
Modular degree for the optimal curve |
Δ |
-23617536 = -1 · 213 · 3 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 -3 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11,-229] |
[a1,a2,a3,a4,a6] |
Generators |
[7:12:1] |
Generators of the group modulo torsion |
j |
152303/24576 |
j-invariant |
L |
4.5012973343175 |
L(r)(E,1)/r! |
Ω |
1.0075454764989 |
Real period |
R |
0.34366055843407 |
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 |
46128z1 17298j1 5766i1 |
Quadratic twists by: -4 -3 -31 |