Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26896b |
Isogeny class |
Conductor |
26896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8176563434619904 = -1 · 210 · 418 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 2 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12888,-4318240] |
[a1,a2,a3,a4,a6] |
Generators |
[5578896004919805:52451681641776656:33401803015125] |
Generators of the group modulo torsion |
j |
48668/1681 |
j-invariant |
L |
8.3246373827583 |
L(r)(E,1)/r! |
Ω |
0.19955845024047 |
Real period |
R |
20.857641890702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13448b2 107584n2 656b2 |
Quadratic twists by: -4 8 41 |