Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15246h |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
41934382182 = 2 · 38 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1359,-16241] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:53:1] [-19:59:1] |
Generators of the group modulo torsion |
j |
286191179/43218 |
j-invariant |
L |
4.1730688825026 |
L(r)(E,1)/r! |
Ω |
0.79424826132831 |
Real period |
R |
1.3135278620326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968fi2 5082o2 106722ch2 15246bp2 |
Quadratic twists by: -4 -3 -7 -11 |