Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cb |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1689600 |
Modular degree for the optimal curve |
Δ |
1771608710263603200 = 222 · 3 · 52 · 117 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1406325,638125467] |
[a1,a2,a3,a4,a6] |
Generators |
[567:4556:1] |
Generators of the group modulo torsion |
j |
173629978755828841/1000026931200 |
j-invariant |
L |
8.8942087731717 |
L(r)(E,1)/r! |
Ω |
0.26620054711416 |
Real period |
R |
0.75935647267526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610g1 |
Quadratic twists by: -11 |