Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710k |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
62340364233734400 = 28 · 35 · 52 · 119 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150042,18808596] |
[a1,a2,a3,a4,a6] |
j |
158428241531/26438400 |
j-invariant |
L |
0.66831508121449 |
L(r)(E,1)/r! |
Ω |
0.33415754102574 |
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 |
61710bx1 |
Quadratic twists by: -11 |