Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032ba |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1634304 |
Modular degree for the optimal curve |
Δ |
-2.6286424909262E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525819,-287029946] |
[a1,a2,a3,a4,a6] |
Generators |
[738633:31747288:343] |
Generators of the group modulo torsion |
j |
-76247332/124659 |
j-invariant |
L |
3.601386834538 |
L(r)(E,1)/r! |
Ω |
0.083904563128211 |
Real period |
R |
10.730604806887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344bf1 67032p1 |
Quadratic twists by: -3 -7 |