Atkin-Lehner |
2+ 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
62814i |
Isogeny class |
Conductor |
62814 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
84456 |
Modular degree for the optimal curve |
Δ |
-73673849646 = -1 · 2 · 33 · 196 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 6 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1813,32294] |
[a1,a2,a3,a4,a6] |
j |
-13997521/1566 |
j-invariant |
L |
3.1856229112175 |
L(r)(E,1)/r! |
Ω |
1.0618743042431 |
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 |
174c1 |
Quadratic twists by: -19 |