Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710t |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-4821223587840 = -1 · 214 · 32 · 5 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4221,4222] |
[a1,a2,a3,a4,a6] |
j |
6250857632461/3622256640 |
j-invariant |
L |
0.9244319451798 |
L(r)(E,1)/r! |
Ω |
0.46221597656874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710cg1 |
Quadratic twists by: -11 |