Atkin-Lehner |
2+ 3- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bk |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-8706417535872 = -1 · 27 · 33 · 78 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 -1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-415154,-102992956] |
[a1,a2,a3,a4,a6] |
Generators |
[52498191372:1922005804741:31554496] |
Generators of the group modulo torsion |
j |
-67260741124719241/74003328 |
j-invariant |
L |
9.2828746100217 |
L(r)(E,1)/r! |
Ω |
0.094041023898688 |
Real period |
R |
16.451817608025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999708096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354f1 |
Quadratic twists by: -7 |