Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19296p |
Isogeny class |
Conductor |
19296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
3409872842304 = 26 · 311 · 673 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219256221,1249614340180] |
[a1,a2,a3,a4,a6] |
Generators |
[150084922:-27589329:17576] |
Generators of the group modulo torsion |
j |
24984575986936074490505152/73085409 |
j-invariant |
L |
4.2599483334357 |
L(r)(E,1)/r! |
Ω |
0.25210094018416 |
Real period |
R |
8.4488941816793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19296h1 38592bb1 6432e1 |
Quadratic twists by: -4 8 -3 |