Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20956h |
Isogeny class |
Conductor |
20956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-404602437616 = -1 · 24 · 138 · 31 |
Discriminant |
Eigenvalues |
2- -2 -3 3 -2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,958,-28079] |
[a1,a2,a3,a4,a6] |
Generators |
[30:169:1] |
Generators of the group modulo torsion |
j |
1257728/5239 |
j-invariant |
L |
2.8443616877374 |
L(r)(E,1)/r! |
Ω |
0.47931627679139 |
Real period |
R |
0.98903438969982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83824t1 1612c1 |
Quadratic twists by: -4 13 |