Atkin-Lehner |
7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27209m |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-70717578659 = -1 · 72 · 137 · 23 |
Discriminant |
Eigenvalues |
0 -1 -1 7- -5 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-901,16798] |
[a1,a2,a3,a4,a6] |
Generators |
[74:591:1] |
Generators of the group modulo torsion |
j |
-16777216/14651 |
j-invariant |
L |
2.0071836215833 |
L(r)(E,1)/r! |
Ω |
1.0017106364276 |
Real period |
R |
0.25046949046354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093c1 |
Quadratic twists by: 13 |