Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450s |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3164832 |
Modular degree for the optimal curve |
Δ |
-3.0774939983474E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -3 -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4099727,-3303648019] |
[a1,a2,a3,a4,a6] |
j |
-12678309/512 |
j-invariant |
L |
0.10584841421864 |
L(r)(E,1)/r! |
Ω |
0.052924214357869 |
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 |
68450bj1 68450bk1 |
Quadratic twists by: 5 37 |