Atkin-Lehner |
2+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200f |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
2265592736000000 = 211 · 56 · 11 · 235 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 11- 5 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33808,-681888] |
[a1,a2,a3,a4,a6] |
j |
133550346386/70799773 |
j-invariant |
L |
6.7292847000627 |
L(r)(E,1)/r! |
Ω |
0.37384913734413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50600j1 4048b1 |
Quadratic twists by: -4 5 |