Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930o |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
3.2431185012975E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3073509,1885066263] |
[a1,a2,a3,a4,a6] |
Generators |
[1419:18771:1] |
Generators of the group modulo torsion |
j |
4404531606962679693649/444872222400201750 |
j-invariant |
L |
3.3987132772052 |
L(r)(E,1)/r! |
Ω |
0.16657788388363 |
Real period |
R |
5.100787088248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
55440dz8 2310t8 34650da8 48510ba8 |
Quadratic twists by: -4 -3 5 -7 |