Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bk |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
737936930961854442 = 2 · 33 · 73 · 1310 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4824709939,-128991678811273] |
[a1,a2,a3,a4,a6] |
Generators |
[-21695575699437110922712260194572757065273698:10847059943105961532973863442557073368550317:540992959978989923323850782120591378728] |
Generators of the group modulo torsion |
j |
2573221814539797208162915513/152882977338 |
j-invariant |
L |
8.953694815998 |
L(r)(E,1)/r! |
Ω |
0.018114725296461 |
Real period |
R |
61.78464408911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999988513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282c3 |
Quadratic twists by: 13 |