Atkin-Lehner |
2- 3+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860a |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
-377844480 = -1 · 28 · 33 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-888,10228] |
[a1,a2,a3,a4,a6] |
Generators |
[21:29:1] |
Generators of the group modulo torsion |
j |
-11203633152/54665 |
j-invariant |
L |
6.6943285659129 |
L(r)(E,1)/r! |
Ω |
1.7024065454191 |
Real period |
R |
0.98306843669771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67860b1 |
Quadratic twists by: -3 |