Atkin-Lehner |
2- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38318n |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
16301052706931776 = 26 · 78 · 174 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-64224,-1213117] |
[a1,a2,a3,a4,a6] |
Generators |
[269:825:1] |
Generators of the group modulo torsion |
j |
249012520882497/138556661824 |
j-invariant |
L |
9.4775543875465 |
L(r)(E,1)/r! |
Ω |
0.32167151100108 |
Real period |
R |
4.910575987934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5474e2 |
Quadratic twists by: -7 |