Atkin-Lehner |
5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71485b |
Isogeny class |
Conductor |
71485 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
252799911425 = 52 · 17 · 296 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7166,-232829] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:50:1] |
Generators of the group modulo torsion |
j |
68417929/425 |
j-invariant |
L |
1.749722751542 |
L(r)(E,1)/r! |
Ω |
0.51908985827886 |
Real period |
R |
3.3707511794023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85a1 |
Quadratic twists by: 29 |