Atkin-Lehner |
2- 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478cx |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-278283348 = -1 · 22 · 32 · 72 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -5 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,132,-540] |
[a1,a2,a3,a4,a6] |
Generators |
[48:318:1] |
Generators of the group modulo torsion |
j |
5188523375/5679252 |
j-invariant |
L |
12.795265552307 |
L(r)(E,1)/r! |
Ω |
0.93854374837848 |
Real period |
R |
1.1360920917495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478bs1 |
Quadratic twists by: -7 |