Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529ba |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11088 |
Modular degree for the optimal curve |
Δ |
6036849 = 36 · 72 · 132 |
Discriminant |
Eigenvalues |
1 3- -3 7- -3 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51,-64] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
2457 |
j-invariant |
L |
3.721028296668 |
L(r)(E,1)/r! |
Ω |
1.849474254689 |
Real period |
R |
2.0119384125504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8281h1 74529n1 74529bd1 |
Quadratic twists by: -3 -7 13 |