Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340bj |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-2647870318551150000 = -1 · 24 · 312 · 55 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,226315,66498900] |
[a1,a2,a3,a4,a6] |
Generators |
[1465:-59535:1] |
Generators of the group modulo torsion |
j |
681010157060096/1406657896875 |
j-invariant |
L |
7.0738369801434 |
L(r)(E,1)/r! |
Ω |
0.17718585556616 |
Real period |
R |
0.11089794444528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360fm1 97020bt1 4620b1 |
Quadratic twists by: -4 -3 -7 |