Atkin-Lehner |
7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9443d |
Isogeny class |
Conductor |
9443 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
47840 |
Modular degree for the optimal curve |
Δ |
-2483362225741817 = -1 · 713 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 -1 2 7- -5 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5148,2395534] |
[a1,a2,a3,a4,a6] |
Generators |
[404:8201:1] |
Generators of the group modulo torsion |
j |
15088082643361727/2483362225741817 |
j-invariant |
L |
2.1239903745537 |
L(r)(E,1)/r! |
Ω |
0.35290226016187 |
Real period |
R |
0.23148601384803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84987n1 66101c1 |
Quadratic twists by: -3 -7 |