Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296y |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-5806325016576 = -1 · 211 · 310 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4136,55796] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:198:1] [44:570:1] |
Generators of the group modulo torsion |
j |
556890154/413343 |
j-invariant |
L |
12.414425763383 |
L(r)(E,1)/r! |
Ω |
0.48406003090886 |
Real period |
R |
2.5646459052451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648i2 121296b2 |
Quadratic twists by: -4 -19 |