Atkin-Lehner |
3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111825j |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-2009704921875 = -1 · 36 · 57 · 7 · 712 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 5 5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12675,-553469] |
[a1,a2,a3,a4,a6] |
j |
-19770609664/176435 |
j-invariant |
L |
8.0947580983296 |
L(r)(E,1)/r! |
Ω |
0.22485436782289 |
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 |
12425e1 22365n1 |
Quadratic twists by: -3 5 |