Atkin-Lehner |
7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32683g |
Isogeny class |
Conductor |
32683 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-111508545743 = -1 · 78 · 23 · 292 |
Discriminant |
Eigenvalues |
1 0 -2 7- -2 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,677,-14736] |
[a1,a2,a3,a4,a6] |
Generators |
[66320:34607:4096] |
Generators of the group modulo torsion |
j |
291434247/947807 |
j-invariant |
L |
3.894530149387 |
L(r)(E,1)/r! |
Ω |
0.53844459750853 |
Real period |
R |
7.2329264095272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4669a1 |
Quadratic twists by: -7 |