Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ek |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-202887659520000 = -1 · 221 · 35 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2592,-684288] |
[a1,a2,a3,a4,a6] |
Generators |
[272:4480:1] |
Generators of the group modulo torsion |
j |
752005775/79252992 |
j-invariant |
L |
5.1853910814975 |
L(r)(E,1)/r! |
Ω |
0.26751390946763 |
Real period |
R |
0.80765131897599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650dh1 109200gn1 |
Quadratic twists by: -4 5 |