Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840r |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.3365820908665E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79879683,-274791012118] |
[a1,a2,a3,a4,a6] |
Generators |
[-1396365816778010667845445916334:61178963142672702271792419613:270578335212036548511699464] |
Generators of the group modulo torsion |
j |
151020262560470148771848/35809491031875 |
j-invariant |
L |
4.6528672188922 |
L(r)(E,1)/r! |
Ω |
0.050499895296304 |
Real period |
R |
46.068087781092 |
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 |
15840h3 31680br4 5280e3 79200v4 |
Quadratic twists by: -4 8 -3 5 |