Atkin-Lehner |
2+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33934g |
Isogeny class |
Conductor |
33934 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
-64702469618106368 = -1 · 215 · 197 · 472 |
Discriminant |
Eigenvalues |
2+ -1 -2 3 -6 5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1768546,-906078604] |
[a1,a2,a3,a4,a6] |
Generators |
[20105:2834364:1] |
Generators of the group modulo torsion |
j |
-13003239781926577/1375305728 |
j-invariant |
L |
2.1001932021448 |
L(r)(E,1)/r! |
Ω |
0.065457992366052 |
Real period |
R |
8.0211488552882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786f1 |
Quadratic twists by: -19 |