Atkin-Lehner |
2- 3- 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
120510ba |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211456 |
Modular degree for the optimal curve |
Δ |
-1387619023050 = -1 · 2 · 313 · 52 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -1 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,56931] |
[a1,a2,a3,a4,a6] |
j |
-16022066761/1903455450 |
j-invariant |
L |
5.6077133473503 |
L(r)(E,1)/r! |
Ω |
0.70096420438218 |
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 |
40170f1 |
Quadratic twists by: -3 |