Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13464i |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
32778572881545216 = 211 · 312 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114339,12065470] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1210:1] |
Generators of the group modulo torsion |
j |
110725946217794/21954955473 |
j-invariant |
L |
5.1173272566481 |
L(r)(E,1)/r! |
Ω |
0.35002333299228 |
Real period |
R |
2.436660061536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26928i2 107712bb2 4488h2 |
Quadratic twists by: -4 8 -3 |