Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fc |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
608939720303616 = 210 · 36 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -1 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26364,1142440] |
[a1,a2,a3,a4,a6] |
Generators |
[19773:487565:729] |
Generators of the group modulo torsion |
j |
3328 |
j-invariant |
L |
8.6062352821692 |
L(r)(E,1)/r! |
Ω |
0.47743964737765 |
Real period |
R |
6.0086025678514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bt1 24336j1 10816be1 97344fk1 |
Quadratic twists by: -4 8 -3 13 |