Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070bp |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
113024160000 = 28 · 37 · 54 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1382,-11019] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:51:1] |
Generators of the group modulo torsion |
j |
400152624409/155040000 |
j-invariant |
L |
8.5136995307763 |
L(r)(E,1)/r! |
Ω |
0.8092645497106 |
Real period |
R |
1.3150365251111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9690b1 |
Quadratic twists by: -3 |