Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450x |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2816418172851562500 = -1 · 22 · 310 · 512 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,259308,62675716] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:7658:1] |
Generators of the group modulo torsion |
j |
169286748026759/247257562500 |
j-invariant |
L |
5.5915729863694 |
L(r)(E,1)/r! |
Ω |
0.17271447285573 |
Real period |
R |
2.0234164900743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150bf2 19890v2 |
Quadratic twists by: -3 5 |