Atkin-Lehner |
2+ 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666z |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-10190225631955824 = -1 · 24 · 38 · 7 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,52555,-1438864] |
[a1,a2,a3,a4,a6] |
j |
3325964415983/2111172336 |
j-invariant |
L |
1.8688894453819 |
L(r)(E,1)/r! |
Ω |
0.23361122681511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282s1 |
Quadratic twists by: 13 |