Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cw |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
67417920000000 = 212 · 36 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -1 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10245,60525] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:675:1] |
Generators of the group modulo torsion |
j |
100471803904/56953125 |
j-invariant |
L |
6.8958257690152 |
L(r)(E,1)/r! |
Ω |
0.53190274482592 |
Real period |
R |
0.92603203920082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4335g1 69360dl1 |
Quadratic twists by: -4 17 |