Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008bg |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6066695480009472 = 28 · 33 · 72 · 112 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51668,-2510916] |
[a1,a2,a3,a4,a6] |
Generators |
[-86175:1013012:729] |
Generators of the group modulo torsion |
j |
59587766186002000/23698029218787 |
j-invariant |
L |
5.022434081371 |
L(r)(E,1)/r! |
Ω |
0.32770078517103 |
Real period |
R |
7.6631401375781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21252n2 |
Quadratic twists by: -4 |