Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948k |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1363094700099455232 = -1 · 28 · 38 · 710 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-838308,301001688] |
[a1,a2,a3,a4,a6] |
j |
-2163250719250000/45258256953 |
j-invariant |
L |
1.0824720244664 |
L(r)(E,1)/r! |
Ω |
0.27061764823378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18564k2 |
Quadratic twists by: -7 |