Atkin-Lehner |
2- 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109564d |
Isogeny class |
Conductor |
109564 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
2028721646224 = 24 · 74 · 134 · 432 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -3 13- -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4230,82153] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:91:1] [-2:301:1] |
Generators of the group modulo torsion |
j |
217939192576/52809289 |
j-invariant |
L |
9.8548504608898 |
L(r)(E,1)/r! |
Ω |
0.77740226077513 |
Real period |
R |
0.17606447777657 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109564k1 |
Quadratic twists by: -7 |