Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640cu |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
3840 |
Product of Tamagawa factors cp |
Δ |
-9.5553430535002E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-910226000,-10674348187500] |
[a1,a2,a3,a4,a6] |
Generators |
[249250:123480000:1] |
Generators of the group modulo torsion |
j |
-20361579986093432779244034001/233284742517093750000000 |
j-invariant |
L |
8.3829041738763 |
L(r)(E,1)/r! |
Ω |
0.013733645919376 |
Real period |
R |
0.63582473947378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330v2 |
Quadratic twists by: -4 |