Atkin-Lehner |
5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23465a |
Isogeny class |
Conductor |
23465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-198768847225 = -1 · 52 · 132 · 196 |
Discriminant |
Eigenvalues |
1 2 5+ -4 2 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1437,-3982] |
[a1,a2,a3,a4,a6] |
Generators |
[914:27218:1] |
Generators of the group modulo torsion |
j |
6967871/4225 |
j-invariant |
L |
7.0375890980912 |
L(r)(E,1)/r! |
Ω |
0.58329602911103 |
Real period |
R |
6.0326050126012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117325c2 65a2 |
Quadratic twists by: 5 -19 |