Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930bk |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
-1557943123968000 = -1 · 218 · 36 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20443,-1535011] |
[a1,a2,a3,a4,a6] |
j |
1296134247276791/2137096192000 |
j-invariant |
L |
4.5110145251459 |
L(r)(E,1)/r! |
Ω |
0.25061191806366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
55440dw3 770b3 34650r3 48510dj3 |
Quadratic twists by: -4 -3 5 -7 |