Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304hu |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2346433761165312 = -1 · 214 · 3 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 6 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38481,-3737553] |
[a1,a2,a3,a4,a6] |
j |
-3269383504/1217307 |
j-invariant |
L |
6.0237706306627 |
L(r)(E,1)/r! |
Ω |
0.16732692514022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304bo2 30576r2 17472ca2 |
Quadratic twists by: -4 8 -7 |