Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032bx |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-8.6310737732425E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 1 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,289149,-1412215378] |
[a1,a2,a3,a4,a6] |
j |
621265148/200564019 |
j-invariant |
L |
4.4522518444055 |
L(r)(E,1)/r! |
Ω |
0.074204197366048 |
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 |
22344a1 67032cj1 |
Quadratic twists by: -3 -7 |