Atkin-Lehner |
2+ 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6578a |
Isogeny class |
Conductor |
6578 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
375840 |
Modular degree for the optimal curve |
Δ |
-1.286260694387E+22 |
Discriminant |
Eigenvalues |
2+ 0 0 0 11+ 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5361668,-2635694256] |
[a1,a2,a3,a4,a6] |
Generators |
[1363987403688:98912942814764:324242703] |
Generators of the group modulo torsion |
j |
17046036816896319542166375/12862606943870064263168 |
j-invariant |
L |
2.9088806900364 |
L(r)(E,1)/r! |
Ω |
0.070556074788118 |
Real period |
R |
13.742642282619 |
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 |
52624g1 59202bd1 72358k1 85514p1 |
Quadratic twists by: -4 -3 -11 13 |