Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370dp |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
588 |
Product of Tamagawa factors cp |
deg |
4609920 |
Modular degree for the optimal curve |
Δ |
-4715146033920000000 = -1 · 214 · 32 · 57 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -1 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2315300,1359823632] |
[a1,a2,a3,a4,a6] |
Generators |
[4:36748:1] |
Generators of the group modulo torsion |
j |
-238100999805398401/817920000000 |
j-invariant |
L |
14.825660603782 |
L(r)(E,1)/r! |
Ω |
0.24507383898604 |
Real period |
R |
0.10288208897666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370cl1 |
Quadratic twists by: -7 |