Atkin-Lehner |
2+ 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
94600g |
Isogeny class |
Conductor |
94600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
15136000 = 28 · 53 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11+ -5 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-473,-4117] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:2:1] [38:185:1] |
Generators of the group modulo torsion |
j |
366500864/473 |
j-invariant |
L |
13.2743597752 |
L(r)(E,1)/r! |
Ω |
1.0236263087106 |
Real period |
R |
1.6209968010491 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94600v1 |
Quadratic twists by: 5 |