Atkin-Lehner |
2+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
71672b |
Isogeny class |
Conductor |
71672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-203527981808 = -1 · 24 · 177 · 31 |
Discriminant |
Eigenvalues |
2+ -3 0 -4 1 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1445,-4913] |
[a1,a2,a3,a4,a6] |
Generators |
[34:289:1] |
Generators of the group modulo torsion |
j |
864000/527 |
j-invariant |
L |
2.5744280052061 |
L(r)(E,1)/r! |
Ω |
0.58114979534803 |
Real period |
R |
0.55373589259834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4216b1 |
Quadratic twists by: 17 |