Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328z |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1107094929408 = -1 · 226 · 33 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 3 -3 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216104,38595252] |
[a1,a2,a3,a4,a6] |
Generators |
[268:-6:1] |
Generators of the group modulo torsion |
j |
-272492272338400297/270286848 |
j-invariant |
L |
6.4569794361011 |
L(r)(E,1)/r! |
Ω |
0.73060438904932 |
Real period |
R |
1.4729766963904 |
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 |
3666e1 117312bv1 87984bq1 |
Quadratic twists by: -4 8 -3 |