Atkin-Lehner |
2+ 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666z |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8433860218167877038 = 2 · 32 · 7 · 1314 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2031215,1105283324] |
[a1,a2,a3,a4,a6] |
j |
192013151632280497/1747295204382 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282s4 |
Quadratic twists by: 13 |