Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ff |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7.0719772013722E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1872087867,-33700482661014] |
[a1,a2,a3,a4,a6] |
j |
-1762712152495281/171798691840 |
j-invariant |
L |
2.2369066951043 |
L(r)(E,1)/r! |
Ω |
0.01141279269398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210bs2 13520o2 121680dv2 |
Quadratic twists by: -4 -3 13 |