Atkin-Lehner |
5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70135l |
Isogeny class |
Conductor |
70135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1012752 |
Modular degree for the optimal curve |
Δ |
-30317574414947755 = -1 · 5 · 139 · 833 |
Discriminant |
Eigenvalues |
-2 -2 5- -4 0 13- -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,56390,-6585406] |
[a1,a2,a3,a4,a6] |
Generators |
[563:14280:1] |
Generators of the group modulo torsion |
j |
1869959168/2858935 |
j-invariant |
L |
1.0673582424418 |
L(r)(E,1)/r! |
Ω |
0.19651033022604 |
Real period |
R |
2.7157815063459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70135g1 |
Quadratic twists by: 13 |