Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094s |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-64239972415635456 = -1 · 216 · 37 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75708,-14575280] |
[a1,a2,a3,a4,a6] |
Generators |
[707:16526:1] |
Generators of the group modulo torsion |
j |
-37159393753/49741824 |
j-invariant |
L |
3.3110804355774 |
L(r)(E,1)/r! |
Ω |
0.13712348095646 |
Real period |
R |
3.0183383003643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16698bf1 4554z1 |
Quadratic twists by: -3 -11 |