Atkin-Lehner |
2- 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820bb |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-801283781548800 = -1 · 28 · 313 · 52 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21408,633476] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:110:1] [280:5346:1] |
Generators of the group modulo torsion |
j |
5814126903296/4293573075 |
j-invariant |
L |
12.000004410126 |
L(r)(E,1)/r! |
Ω |
0.32083289531857 |
Real period |
R |
0.51948141966237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38940b1 |
Quadratic twists by: -3 |