Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225w |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-10181757777046875 = -1 · 36 · 56 · 197 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,54150,-214344] |
[a1,a2,a3,a4,a6] |
Generators |
[3914:245299:1] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
4.1144883804056 |
L(r)(E,1)/r! |
Ω |
0.24163564564614 |
Real period |
R |
4.2569137226442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9025c1 3249c1 4275k1 |
Quadratic twists by: -3 5 -19 |