Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976x |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4828175525250072576 = 218 · 312 · 72 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-834177,273251295] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:20160:1] |
Generators of the group modulo torsion |
j |
244883173420511137/18418027974129 |
j-invariant |
L |
8.6317844150219 |
L(r)(E,1)/r! |
Ω |
0.23838011235159 |
Real period |
R |
3.0175141744108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38976bb3 609b3 116928ck3 |
Quadratic twists by: -4 8 -3 |