Atkin-Lehner |
2- 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cc |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1018880446319366400 = 28 · 38 · 52 · 74 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4154030,-3260130325] |
[a1,a2,a3,a4,a6] |
Generators |
[-1175:1175:1] |
Generators of the group modulo torsion |
j |
7927433445130849562865121/1018880446319366400 |
j-invariant |
L |
7.9279899287279 |
L(r)(E,1)/r! |
Ω |
0.10575124678806 |
Real period |
R |
2.3427590009341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810s4 |
Quadratic twists by: -3 |