Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270y |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
222067137600 = 26 · 34 · 52 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1569,-7724] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:138:1] |
Generators of the group modulo torsion |
j |
426770691362569/222067137600 |
j-invariant |
L |
4.8898427049588 |
L(r)(E,1)/r! |
Ω |
0.80321135113103 |
Real period |
R |
0.76098319235514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810dz2 |
Quadratic twists by: -3 |