Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880cs |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
344400 = 24 · 3 · 52 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-285,-1950] |
[a1,a2,a3,a4,a6] |
Generators |
[477763784:-6574708155:2515456] |
Generators of the group modulo torsion |
j |
160568836096/21525 |
j-invariant |
L |
8.784019972263 |
L(r)(E,1)/r! |
Ω |
1.1616222463021 |
Real period |
R |
15.123711688827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220d1 |
Quadratic twists by: -4 |