Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8214h |
Isogeny class |
Conductor |
8214 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
3398112 |
Modular degree for the optimal curve |
Δ |
-1.5674484301099E+22 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 5 -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-249592686,1517642768811] |
[a1,a2,a3,a4,a6] |
j |
-670206957616537490521/6109179936768 |
j-invariant |
L |
5.1481764279424 |
L(r)(E,1)/r! |
Ω |
0.11191687886831 |
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 |
65712bd1 24642j1 222e1 |
Quadratic twists by: -4 -3 37 |