Atkin-Lehner |
7- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9443c |
Isogeny class |
Conductor |
9443 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4512 |
Modular degree for the optimal curve |
Δ |
-8791433 = -1 · 73 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 1 -2 7- -5 -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2904,59993] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:353:1] [16:125:1] |
Generators of the group modulo torsion |
j |
-2708462924931457/8791433 |
j-invariant |
L |
4.0781375502513 |
L(r)(E,1)/r! |
Ω |
2.0231343138207 |
Real period |
R |
0.33595870875465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84987l1 66101i1 |
Quadratic twists by: -3 -7 |