Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64728q |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
6039899136 = 210 · 38 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 2 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2811,-57242] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:9:8] |
Generators of the group modulo torsion |
j |
3290627812/8091 |
j-invariant |
L |
7.7940996104848 |
L(r)(E,1)/r! |
Ω |
0.65576542341118 |
Real period |
R |
2.9713748743068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456n1 21576e1 |
Quadratic twists by: -4 -3 |