Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166t |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-13390272 = -1 · 26 · 36 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30,-172] |
[a1,a2,a3,a4,a6] |
j |
4019679/18368 |
j-invariant |
L |
2.2576455261461 |
L(r)(E,1)/r! |
Ω |
1.1288227630731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41328br1 574h1 129150cs1 36162x1 |
Quadratic twists by: -4 -3 5 -7 |