Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
74340o |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-843015600 = -1 · 24 · 36 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,1377] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-45:1] [-6:27:1] |
Generators of the group modulo torsion |
j |
3538944/72275 |
j-invariant |
L |
10.335765503469 |
L(r)(E,1)/r! |
Ω |
1.1839349775049 |
Real period |
R |
0.72750092557534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8260c1 |
Quadratic twists by: -3 |