Atkin-Lehner |
2- 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56880bp |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-1044692262604800 = -1 · 212 · 317 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 7 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22893,-800494] |
[a1,a2,a3,a4,a6] |
j |
444369620591/349865325 |
j-invariant |
L |
4.3791543637273 |
L(r)(E,1)/r! |
Ω |
0.2736971476293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3555g1 18960f1 |
Quadratic twists by: -4 -3 |