Atkin-Lehner |
2- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65968k |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
278400 |
Modular degree for the optimal curve |
Δ |
-330262956206848 = -1 · 28 · 75 · 195 · 31 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 4 -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,568,-874340] |
[a1,a2,a3,a4,a6] |
Generators |
[2226:36509:8] |
Generators of the group modulo torsion |
j |
79164186624/1290089672683 |
j-invariant |
L |
3.6099487185245 |
L(r)(E,1)/r! |
Ω |
0.24994268377971 |
Real period |
R |
7.2215530867796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16492c1 |
Quadratic twists by: -4 |