Atkin-Lehner |
2+ 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070n |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
92400 |
Modular degree for the optimal curve |
Δ |
-12586521156480 = -1 · 27 · 36 · 5 · 175 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 5 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3645,147285] |
[a1,a2,a3,a4,a6] |
j |
7345506701519/17265461120 |
j-invariant |
L |
2.4767135730054 |
L(r)(E,1)/r! |
Ω |
0.49534271460104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3230f1 |
Quadratic twists by: -3 |