Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cs |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
-1095376605468750000 = -1 · 24 · 36 · 512 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,174595,41813025] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:3895:1] |
Generators of the group modulo torsion |
j |
442222574135797909/822972656250000 |
j-invariant |
L |
11.829077192516 |
L(r)(E,1)/r! |
Ω |
0.18962221832631 |
Real period |
R |
0.2166053380103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710bg2 |
Quadratic twists by: -11 |