Atkin-Lehner |
2+ 5+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19090c |
Isogeny class |
Conductor |
19090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-23226803000000 = -1 · 26 · 56 · 234 · 83 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 -1 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9670,435700] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:514:1] [20:490:1] |
Generators of the group modulo torsion |
j |
-100006538833738809/23226803000000 |
j-invariant |
L |
3.4668646363966 |
L(r)(E,1)/r! |
Ω |
0.6448414609721 |
Real period |
R |
0.33601908823916 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95450k1 |
Quadratic twists by: 5 |