Atkin-Lehner |
2- 3- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478cj |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3587328 |
Modular degree for the optimal curve |
Δ |
-70346600671277574 = -1 · 2 · 39 · 72 · 194 · 234 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 5 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1649859,815639607] |
[a1,a2,a3,a4,a6] |
j |
-10136035877863224285313/1435644911658726 |
j-invariant |
L |
12.036248765378 |
L(r)(E,1)/r! |
Ω |
0.33434027834649 |
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 |
128478bv1 |
Quadratic twists by: -7 |