Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8214d |
Isogeny class |
Conductor |
8214 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-779770438770462 = -1 · 2 · 3 · 379 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 3 1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-202641,-35153126] |
[a1,a2,a3,a4,a6] |
j |
-358667682625/303918 |
j-invariant |
L |
2.0250624588136 |
L(r)(E,1)/r! |
Ω |
0.11250346993409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712p2 24642o2 222a2 |
Quadratic twists by: -4 -3 37 |