Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7176l |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
603489429504 = 211 · 34 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45104,-3671796] |
[a1,a2,a3,a4,a6] |
Generators |
[752262:5815755:2744] |
Generators of the group modulo torsion |
j |
4955055966218594/294672573 |
j-invariant |
L |
3.6889993519449 |
L(r)(E,1)/r! |
Ω |
0.3276019946349 |
Real period |
R |
11.260613220796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14352p4 57408ba4 21528g4 93288c4 |
Quadratic twists by: -4 8 -3 13 |