Atkin-Lehner |
2- 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674u |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
8616960 |
Modular degree for the optimal curve |
Δ |
1.30037586019E+20 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14987239,-22326659895] |
[a1,a2,a3,a4,a6] |
j |
3164465555922532129633/1105301243691008 |
j-invariant |
L |
2.6088999035855 |
L(r)(E,1)/r! |
Ω |
0.076732305964958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18382i1 |
Quadratic twists by: -7 |