Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880cu |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
215250000 = 24 · 3 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-245,1218] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1180:27] |
Generators of the group modulo torsion |
j |
102064193536/13453125 |
j-invariant |
L |
9.5529164546945 |
L(r)(E,1)/r! |
Ω |
1.709381852396 |
Real period |
R |
3.725680695853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220e1 |
Quadratic twists by: -4 |