Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710w |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4438876388430 = 2 · 3 · 5 · 116 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20089,-1092874] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1177:1] |
Generators of the group modulo torsion |
j |
506071034209/2505630 |
j-invariant |
L |
5.1224846630249 |
L(r)(E,1)/r! |
Ω |
0.40113632022472 |
Real period |
R |
3.1924837048369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510f4 |
Quadratic twists by: -11 |