Atkin-Lehner |
2- 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13202h |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
87146402 = 2 · 72 · 232 · 412 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-503,-4361] |
[a1,a2,a3,a4,a6] |
Generators |
[230:459:8] |
Generators of the group modulo torsion |
j |
14076076848625/87146402 |
j-invariant |
L |
4.6161132143976 |
L(r)(E,1)/r! |
Ω |
1.0084747367768 |
Real period |
R |
2.2886608092688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105616x2 118818k2 92414t2 |
Quadratic twists by: -4 -3 -7 |