Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340bm |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
76704136185600 = 28 · 33 · 52 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-542740,-154079500] |
[a1,a2,a3,a4,a6] |
Generators |
[10122290:-1015673217:1000] |
Generators of the group modulo torsion |
j |
1711503051568/7425 |
j-invariant |
L |
6.9318780565644 |
L(r)(E,1)/r! |
Ω |
0.17589425036569 |
Real period |
R |
13.136449963833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ft2 97020ca2 32340d2 |
Quadratic twists by: -4 -3 -7 |