Atkin-Lehner |
2- 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820q |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-52701894432000 = -1 · 28 · 36 · 53 · 11 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3567,358774] |
[a1,a2,a3,a4,a6] |
Generators |
[6198:487930:1] |
Generators of the group modulo torsion |
j |
-26894628304/282396125 |
j-invariant |
L |
7.9796169959558 |
L(r)(E,1)/r! |
Ω |
0.53767306112441 |
Real period |
R |
4.947006873357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011218 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12980c2 |
Quadratic twists by: -3 |