Atkin-Lehner |
2+ 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198h |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9019951872397312 = -1 · 212 · 79 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11+ -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,44565,2805629] |
[a1,a2,a3,a4,a6] |
j |
83195910236375/76668325888 |
j-invariant |
L |
2.1508030399618 |
L(r)(E,1)/r! |
Ω |
0.26885037998473 |
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 |
6314d2 |
Quadratic twists by: -7 |