Atkin-Lehner |
2- 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
70448t |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-306589696 = -1 · 212 · 7 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 2 1 7- 3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,-867] |
[a1,a2,a3,a4,a6] |
Generators |
[101490:1012707:1000] |
Generators of the group modulo torsion |
j |
-16777216/74851 |
j-invariant |
L |
11.222361101449 |
L(r)(E,1)/r! |
Ω |
0.71299377197788 |
Real period |
R |
7.8698871872648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4403a1 |
Quadratic twists by: -4 |