Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710cv |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
70255857513600 = 27 · 36 · 52 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1403905,640140425] |
[a1,a2,a3,a4,a6] |
Generators |
[692:-709:1] |
Generators of the group modulo torsion |
j |
172735174415217961/39657600 |
j-invariant |
L |
13.955529788966 |
L(r)(E,1)/r! |
Ω |
0.48993151346893 |
Real period |
R |
0.3391030273132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510b2 |
Quadratic twists by: -11 |