Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
67760o |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-8348032000 = -1 · 210 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,253,4114] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-70:1] |
Generators of the group modulo torsion |
j |
1314036/6125 |
j-invariant |
L |
6.0876998915842 |
L(r)(E,1)/r! |
Ω |
0.93857265960341 |
Real period |
R |
0.54051044333629 |
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 |
33880o1 67760j1 |
Quadratic twists by: -4 -11 |