Atkin-Lehner |
2- 3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282x |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1393686760158 = -1 · 2 · 33 · 78 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-467,-56815] |
[a1,a2,a3,a4,a6] |
j |
-416330716563/51618028154 |
j-invariant |
L |
3.0322096809455 |
L(r)(E,1)/r! |
Ω |
0.37902621012765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282b2 |
Quadratic twists by: -3 |