Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680ch |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
92217216960 = 26 · 39 · 5 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1983,30688] |
[a1,a2,a3,a4,a6] |
Generators |
[706:5895:8] |
Generators of the group modulo torsion |
j |
18483505984/1976535 |
j-invariant |
L |
5.0128880252088 |
L(r)(E,1)/r! |
Ω |
1.0384918714538 |
Real period |
R |
4.8270845087994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680cr1 15840bf3 10560ck1 |
Quadratic twists by: -4 8 -3 |