Atkin-Lehner |
2- 3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746w |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-8889426 = -1 · 2 · 36 · 7 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52574,-4626673] |
[a1,a2,a3,a4,a6] |
j |
-22044563397858457/12194 |
j-invariant |
L |
1.4187965771496 |
L(r)(E,1)/r! |
Ω |
0.15764400116267 |
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 |
12194d1 |
Quadratic twists by: -3 |