Atkin-Lehner |
2+ 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846f |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-12984406239168 = -1 · 26 · 33 · 76 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1248,172224] |
[a1,a2,a3,a4,a6] |
j |
7958073457125/480903934784 |
j-invariant |
L |
1.0803695684108 |
L(r)(E,1)/r! |
Ω |
0.54018478420575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
27846ba3 |
Quadratic twists by: -3 |