Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ge |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-18862875000000 = -1 · 26 · 38 · 59 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -2 -6 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10033,-436313] |
[a1,a2,a3,a4,a6] |
Generators |
[122:375:1] [538:12231:1] |
Generators of the group modulo torsion |
j |
-111701610496/18862875 |
j-invariant |
L |
7.7958642756756 |
L(r)(E,1)/r! |
Ω |
0.23632771251779 |
Real period |
R |
4.1234395409156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400em1 27600cs1 22080cu1 |
Quadratic twists by: -4 8 5 |