Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bg |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.3266344815338E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-121106,554345119] |
[a1,a2,a3,a4,a6] |
j |
-221335335649/149479321600 |
j-invariant |
L |
3.5873873235282 |
L(r)(E,1)/r! |
Ω |
0.14947447261048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170n1 |
Quadratic twists by: -31 |