Atkin-Lehner |
2- 3+ 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
99990n |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4859028048600 = -1 · 23 · 39 · 52 · 112 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1973,111781] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-304:1] |
Generators of the group modulo torsion |
j |
-43132764843/246864200 |
j-invariant |
L |
7.8624707175078 |
L(r)(E,1)/r! |
Ω |
0.66527674208791 |
Real period |
R |
0.98486216579697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99990e2 |
Quadratic twists by: -3 |