Atkin-Lehner |
2+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6490b |
Isogeny class |
Conductor |
6490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138320 |
Modular degree for the optimal curve |
Δ |
-2.296293502976E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11+ -2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,542767,171884437] |
[a1,a2,a3,a4,a6] |
j |
17683277672517811149671/22962935029760000000 |
j-invariant |
L |
0.28770106444504 |
L(r)(E,1)/r! |
Ω |
0.14385053222252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51920p1 58410bl1 32450m1 71390k1 |
Quadratic twists by: -4 -3 5 -11 |