Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440cs |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
3555328000 = 217 · 53 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 5 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,2719] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:80:1] |
Generators of the group modulo torsion |
j |
94091762/27125 |
j-invariant |
L |
7.4585302812209 |
L(r)(E,1)/r! |
Ω |
1.3066502212543 |
Real period |
R |
1.4270326823859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440k1 17360o1 |
Quadratic twists by: -4 8 |