Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032v |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-361583576903049984 = -1 · 28 · 36 · 710 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 1 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,86436,-27227340] |
[a1,a2,a3,a4,a6] |
Generators |
[2538:128610:1] |
Generators of the group modulo torsion |
j |
1354752/6859 |
j-invariant |
L |
7.2320153989459 |
L(r)(E,1)/r! |
Ω |
0.15202104910657 |
Real period |
R |
5.946557599278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448p1 67032m1 |
Quadratic twists by: -3 -7 |