Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710bi |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-355891937280 = -1 · 220 · 3 · 5 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1317,-21914] |
[a1,a2,a3,a4,a6] |
j |
190010204749/267386880 |
j-invariant |
L |
2.0342578339125 |
L(r)(E,1)/r! |
Ω |
0.50856445833639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61710cq1 |
Quadratic twists by: -11 |