Atkin-Lehner |
7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64757c |
Isogeny class |
Conductor |
64757 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36736 |
Modular degree for the optimal curve |
Δ |
-20657483 = -1 · 7 · 112 · 293 |
Discriminant |
Eigenvalues |
-2 -3 -2 7+ 11+ -4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,29,210] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] [0:14:1] |
Generators of the group modulo torsion |
j |
110592/847 |
j-invariant |
L |
2.1976068048759 |
L(r)(E,1)/r! |
Ω |
1.5734001362561 |
Real period |
R |
0.34918117048918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64757g1 |
Quadratic twists by: 29 |