Atkin-Lehner |
2+ 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752b |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
-28367769456 = -1 · 24 · 39 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 -6 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1647,26973] |
[a1,a2,a3,a4,a6] |
Generators |
[162:351:8] [28:53:1] |
Generators of the group modulo torsion |
j |
-1568892672/90077 |
j-invariant |
L |
11.051356038558 |
L(r)(E,1)/r! |
Ω |
1.1657720734366 |
Real period |
R |
1.5799766653191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38376a1 76752f1 |
Quadratic twists by: -4 -3 |