Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55660bb |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
-222640 = -1 · 24 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- -1 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,2] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
180224/115 |
j-invariant |
L |
9.4251527170479 |
L(r)(E,1)/r! |
Ω |
1.9593199194155 |
Real period |
R |
1.6034735017847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55660ba1 |
Quadratic twists by: -11 |