Atkin-Lehner |
2+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42194m |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1101600 |
Modular degree for the optimal curve |
Δ |
-1.1115267000015E+19 |
Discriminant |
Eigenvalues |
2+ -2 0 -1 -3 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1984136,1087462614] |
[a1,a2,a3,a4,a6] |
Generators |
[20969:3019307:1] |
Generators of the group modulo torsion |
j |
-123835835157625/1593413632 |
j-invariant |
L |
2.2858268527982 |
L(r)(E,1)/r! |
Ω |
0.22799790733829 |
Real period |
R |
5.0128241953638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42194e1 |
Quadratic twists by: 17 |