Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472dj |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.7320063905864E+19 |
Discriminant |
Eigenvalues |
2- -2 2 7- 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,517503,-256453505] |
[a1,a2,a3,a4,a6] |
Generators |
[3533800711:352038024520:357911] |
Generators of the group modulo torsion |
j |
986078/2401 |
j-invariant |
L |
6.420887234001 |
L(r)(E,1)/r! |
Ω |
0.10613673095765 |
Real period |
R |
15.124092841736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000221642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472i2 32368d2 129472ce2 |
Quadratic twists by: -4 8 17 |