Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65824k |
Isogeny class |
Conductor |
65824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
1927458368 = 26 · 116 · 17 |
Discriminant |
Eigenvalues |
2- -2 2 2 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2702,53128] |
[a1,a2,a3,a4,a6] |
Generators |
[54:260:1] |
Generators of the group modulo torsion |
j |
19248832/17 |
j-invariant |
L |
5.0161819364465 |
L(r)(E,1)/r! |
Ω |
1.4690697285495 |
Real period |
R |
3.4145295069602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65824i1 544c1 |
Quadratic twists by: -4 -11 |