Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824h |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
3292274556928 = 216 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 1 0 7- 3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2121128,1188338612] |
[a1,a2,a3,a4,a6] |
Generators |
[22692:98:27] |
Generators of the group modulo torsion |
j |
2190162605289625/6832 |
j-invariant |
L |
7.3750331983765 |
L(r)(E,1)/r! |
Ω |
0.52749131046252 |
Real period |
R |
1.74766698808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978b1 6832e1 |
Quadratic twists by: -4 -7 |