Atkin-Lehner |
3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775bt |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
317868148125 = 313 · 54 · 11 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- -4 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2550,41481] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:1697:8] [11:121:1] |
Generators of the group modulo torsion |
j |
4024729600/697653 |
j-invariant |
L |
7.2715642116439 |
L(r)(E,1)/r! |
Ω |
0.92116701556022 |
Real period |
R |
1.9734652047055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925be1 71775y1 |
Quadratic twists by: -3 5 |