Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194f |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-26641301767873254 = -1 · 2 · 33 · 78 · 112 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1388196,-629243458] |
[a1,a2,a3,a4,a6] |
Generators |
[1919:60448:1] |
Generators of the group modulo torsion |
j |
-10957525499211675878619/986714880291602 |
j-invariant |
L |
5.4205691193024 |
L(r)(E,1)/r! |
Ω |
0.069543172804884 |
Real period |
R |
2.4357931648227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40194bd2 |
Quadratic twists by: -3 |