Atkin-Lehner |
2- 3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19458h |
Isogeny class |
Conductor |
19458 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
7262659584 = 210 · 38 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-491,-709] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:58:1] [-9:58:1] |
Generators of the group modulo torsion |
j |
17923019113/9962496 |
j-invariant |
L |
8.9203635204168 |
L(r)(E,1)/r! |
Ω |
1.0877098044022 |
Real period |
R |
0.82010509460486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486l1 |
Quadratic twists by: -3 |