Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550dc |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1270080 |
Modular degree for the optimal curve |
Δ |
-664709902910156250 = -1 · 2 · 39 · 510 · 73 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,150612,32145642] |
[a1,a2,a3,a4,a6] |
Generators |
[-1122:23565:8] |
Generators of the group modulo torsion |
j |
38690310531575/68066294058 |
j-invariant |
L |
10.728543606363 |
L(r)(E,1)/r! |
Ω |
0.19704560033747 |
Real period |
R |
3.0248338417917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550ba1 |
Quadratic twists by: 5 |