Atkin-Lehner |
2+ 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
70150g |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-157046769200000000 = -1 · 210 · 58 · 235 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 -3 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-502576,138412798] |
[a1,a2,a3,a4,a6] |
Generators |
[377:1411:1] |
Generators of the group modulo torsion |
j |
-35939139265288345/402039729152 |
j-invariant |
L |
3.5663153938641 |
L(r)(E,1)/r! |
Ω |
0.3253714267489 |
Real period |
R |
1.8267919372029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70150p1 |
Quadratic twists by: 5 |