Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710n |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1620522707156471250 = 2 · 316 · 54 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13729872,19575769734] |
[a1,a2,a3,a4,a6] |
Generators |
[2173:1636:1] |
Generators of the group modulo torsion |
j |
161572377633716256481/914742821250 |
j-invariant |
L |
4.2397971544626 |
L(r)(E,1)/r! |
Ω |
0.23703822209389 |
Real period |
R |
2.2358193527503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510e7 |
Quadratic twists by: -11 |