Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cl |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-31289225347072000 = -1 · 218 · 53 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19320,8441072] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:2730:1] |
Generators of the group modulo torsion |
j |
109902239/4312000 |
j-invariant |
L |
10.20281012213 |
L(r)(E,1)/r! |
Ω |
0.28042901997741 |
Real period |
R |
3.0319051035201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470l1 6160k1 |
Quadratic twists by: -4 -11 |