Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45486g |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-80423407804594176 = -1 · 211 · 316 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 0 -1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-531279,-149540499] |
[a1,a2,a3,a4,a6] |
j |
-174562192958689/846526464 |
j-invariant |
L |
1.0607038023773 |
L(r)(E,1)/r! |
Ω |
0.088391983526962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162bb1 45486bf1 |
Quadratic twists by: -3 -19 |