Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248l |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
3784218256 = 24 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 1 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1183,15379] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:169:1] [-13:169:1] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
6.3485501590911 |
L(r)(E,1)/r! |
Ω |
1.3972979605283 |
Real period |
R |
0.56793095839383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66248c1 392f1 |
Quadratic twists by: -7 13 |