Atkin-Lehner |
2+ 3+ 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520g |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-299692800000 = -1 · 211 · 32 · 55 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5560,163600] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1100:1] [40:-60:1] |
Generators of the group modulo torsion |
j |
-9283168698482/146334375 |
j-invariant |
L |
10.512177268604 |
L(r)(E,1)/r! |
Ω |
0.97311253822185 |
Real period |
R |
0.13503290805564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999966551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56760k1 |
Quadratic twists by: -4 |