Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088f |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-21008644643304432 = -1 · 24 · 36 · 239 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -6 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36501,6436343] |
[a1,a2,a3,a4,a6] |
Generators |
[90459:2615905:729] |
Generators of the group modulo torsion |
j |
256 |
j-invariant |
L |
5.6774598160965 |
L(r)(E,1)/r! |
Ω |
0.27299067569779 |
Real period |
R |
5.1993166081446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76176k1 4232g1 38088m1 |
Quadratic twists by: -4 -3 -23 |