Atkin-Lehner |
3+ 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109275h |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27004045102875 = 314 · 53 · 312 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 -4 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8315,-154050] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:1713:8] |
Generators of the group modulo torsion |
j |
508723812839789/216032360823 |
j-invariant |
L |
4.296625914696 |
L(r)(E,1)/r! |
Ω |
0.51937279940178 |
Real period |
R |
4.1363601288419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109275o2 |
Quadratic twists by: 5 |