Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166d |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-21263256 = -1 · 23 · 33 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -4 -3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84,392] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] |
Generators of the group modulo torsion |
j |
-2444008923/787528 |
j-invariant |
L |
2.9802256482659 |
L(r)(E,1)/r! |
Ω |
2.0340754013084 |
Real period |
R |
0.18314375454991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41328t1 5166x1 129150cd1 36162b1 |
Quadratic twists by: -4 -3 5 -7 |