Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966b |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
1.8901154553324E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 0 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17014736,26184390912] |
[a1,a2,a3,a4,a6] |
Generators |
[693504:2155056:343] |
Generators of the group modulo torsion |
j |
3914907891433/135834624 |
j-invariant |
L |
4.7779760681541 |
L(r)(E,1)/r! |
Ω |
0.12143456202002 |
Real period |
R |
9.8365242643859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966cg1 4998l1 |
Quadratic twists by: -7 17 |