Atkin-Lehner |
3+ 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
128037c |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.0285977528923E+19 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2822563,1851524184] |
[a1,a2,a3,a4,a6] |
Generators |
[9546:107649:8] |
Generators of the group modulo torsion |
j |
-21138129711271936000/342425158980723 |
j-invariant |
L |
4.0137745757114 |
L(r)(E,1)/r! |
Ω |
0.20450643266021 |
Real period |
R |
2.4533302534989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18291g2 |
Quadratic twists by: -7 |