Atkin-Lehner |
2+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12274h |
Isogeny class |
Conductor |
12274 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
186513489316262 = 2 · 172 · 199 |
Discriminant |
Eigenvalues |
2+ 2 0 2 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26411850,52234190678] |
[a1,a2,a3,a4,a6] |
Generators |
[41794100918535:-20118748498738:14084823375] |
Generators of the group modulo torsion |
j |
43311038625059640625/3964502 |
j-invariant |
L |
5.1362328128609 |
L(r)(E,1)/r! |
Ω |
0.318207417882 |
Real period |
R |
16.14114732789 |
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 |
98192x4 110466bf4 646e4 |
Quadratic twists by: -4 -3 -19 |