Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266a |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-3662505440256 = -1 · 210 · 3 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3208,61248] |
[a1,a2,a3,a4,a6] |
Generators |
[304:5256:1] |
Generators of the group modulo torsion |
j |
756058031/758784 |
j-invariant |
L |
3.6647535101648 |
L(r)(E,1)/r! |
Ω |
0.51944756276779 |
Real period |
R |
0.88188726178581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57798bg1 1482g1 |
Quadratic twists by: -3 13 |