Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744bf |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
2690371584 = 212 · 36 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 0 -7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624,-5456] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:23:1] |
Generators of the group modulo torsion |
j |
8998912/901 |
j-invariant |
L |
2.7572217568313 |
L(r)(E,1)/r! |
Ω |
0.96138097848527 |
Real period |
R |
2.8679804280379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997339628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8109e1 14416l1 |
Quadratic twists by: -4 -3 |