Atkin-Lehner |
3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225g |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
533520 |
Modular degree for the optimal curve |
Δ |
-179123516448046875 = -1 · 33 · 58 · 198 |
Discriminant |
Eigenvalues |
0 3+ 5- -4 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,20362656] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
0.50911576604546 |
L(r)(E,1)/r! |
Ω |
0.25455791398276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81225g2 81225b1 81225i1 |
Quadratic twists by: -3 5 -19 |