Atkin-Lehner |
3+ 7- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
128037f |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
251904 |
Modular degree for the optimal curve |
Δ |
-4727763536223 = -1 · 3 · 77 · 134 · 67 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1324,105692] |
[a1,a2,a3,a4,a6] |
Generators |
[1464:55291:1] |
Generators of the group modulo torsion |
j |
-2181825073/40185327 |
j-invariant |
L |
3.0822731089239 |
L(r)(E,1)/r! |
Ω |
0.64992364113162 |
Real period |
R |
4.7425156387945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000024928 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18291e1 |
Quadratic twists by: -7 |