Atkin-Lehner |
2+ 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170c |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3538392500160 = 26 · 33 · 5 · 76 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3855,18221] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:241:1] |
Generators of the group modulo torsion |
j |
234691015098987/131051574080 |
j-invariant |
L |
3.1514205380648 |
L(r)(E,1)/r! |
Ω |
0.68382434112783 |
Real period |
R |
1.1521308721136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170x2 |
Quadratic twists by: -3 |