Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320d |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
400462444800 = 28 · 39 · 52 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1863,5562] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:170:1] |
Generators of the group modulo torsion |
j |
141915888/79475 |
j-invariant |
L |
5.5996966102064 |
L(r)(E,1)/r! |
Ω |
0.81917751923016 |
Real period |
R |
1.7089386849176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67320w1 |
Quadratic twists by: -3 |