Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328ck |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-186587977089024 = -1 · 219 · 311 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4611,668162] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1134:1] |
Generators of the group modulo torsion |
j |
-3630961153/62487936 |
j-invariant |
L |
7.554346254633 |
L(r)(E,1)/r! |
Ω |
0.47906785060834 |
Real period |
R |
0.98555275691061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166n1 13776h1 |
Quadratic twists by: -4 -3 |