Atkin-Lehner |
2- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42598f |
Isogeny class |
Conductor |
42598 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
229824 |
Modular degree for the optimal curve |
Δ |
-1455269860605952 = -1 · 219 · 196 · 59 |
Discriminant |
Eigenvalues |
2- -2 2 -3 1 -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20028,1477648] |
[a1,a2,a3,a4,a6] |
Generators |
[296:5628:1] |
Generators of the group modulo torsion |
j |
18884848247/30932992 |
j-invariant |
L |
6.1289598464951 |
L(r)(E,1)/r! |
Ω |
0.32685965002278 |
Real period |
R |
0.49344853976905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118d1 |
Quadratic twists by: -19 |