Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5684i |
Isogeny class |
Conductor |
5684 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-299585178368 = -1 · 28 · 79 · 29 |
Discriminant |
Eigenvalues |
2- -3 0 7- 2 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1960,42532] |
[a1,a2,a3,a4,a6] |
Generators |
[84:686:1] |
Generators of the group modulo torsion |
j |
-27648000/9947 |
j-invariant |
L |
2.3656957410376 |
L(r)(E,1)/r! |
Ω |
0.91438335137335 |
Real period |
R |
0.21560028565376 |
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 |
22736be1 90944ck1 51156v1 812a1 |
Quadratic twists by: -4 8 -3 -7 |