Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8214f |
Isogeny class |
Conductor |
8214 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37296 |
Modular degree for the optimal curve |
Δ |
-42149753447052 = -1 · 22 · 3 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -2 -5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-89698,10307387] |
[a1,a2,a3,a4,a6] |
j |
-22722625/12 |
j-invariant |
L |
1.269226150507 |
L(r)(E,1)/r! |
Ω |
0.63461307525348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712y1 24642d1 8214b1 |
Quadratic twists by: -4 -3 37 |