Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792n |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13680672768 = 215 · 33 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129008,-17792064] |
[a1,a2,a3,a4,a6] |
Generators |
[5306:109681:8] |
Generators of the group modulo torsion |
j |
57971836400640625/3340008 |
j-invariant |
L |
4.1087089285213 |
L(r)(E,1)/r! |
Ω |
0.25190983012016 |
Real period |
R |
8.1551182948307 |
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 |
1974l2 63168cw2 47376z2 110544dg2 |
Quadratic twists by: -4 8 -3 -7 |