Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380o |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6209389625250000 = 24 · 3 · 56 · 73 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87085,-9107150] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:578:1] |
Generators of the group modulo torsion |
j |
189123395584/16078125 |
j-invariant |
L |
4.1608369721225 |
L(r)(E,1)/r! |
Ω |
0.27942062252196 |
Real period |
R |
2.4818240806496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
420c3 |
Quadratic twists by: 17 |