Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
67760o |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
298144000000 = 211 · 56 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2827,51546] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:330:1] |
Generators of the group modulo torsion |
j |
916628022/109375 |
j-invariant |
L |
6.0876998915842 |
L(r)(E,1)/r! |
Ω |
0.93857265960341 |
Real period |
R |
1.0810208866726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33880o2 67760j2 |
Quadratic twists by: -4 -11 |