Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360eq |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5.0021909115171E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136636565,702689826525] |
[a1,a2,a3,a4,a6] |
j |
-11947588428895092736/2118439154286675 |
j-invariant |
L |
1.4628725570403 |
L(r)(E,1)/r! |
Ω |
0.060953046364998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085r2 129360gj2 |
Quadratic twists by: -4 -7 |