Atkin-Lehner |
3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775n |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2829505078125 = 33 · 58 · 11 · 293 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6000,159531] |
[a1,a2,a3,a4,a6] |
Generators |
[450:21:8] |
Generators of the group modulo torsion |
j |
2264924160/268279 |
j-invariant |
L |
5.1668269515776 |
L(r)(E,1)/r! |
Ω |
0.7782676285225 |
Real period |
R |
3.3194410007985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
71775q2 71775b1 |
Quadratic twists by: -3 5 |