Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hg |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
17990860800000 = 217 · 3 · 55 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7905,-174975] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:-240:1] [-40:275:1] |
Generators of the group modulo torsion |
j |
28471058/9375 |
j-invariant |
L |
9.8501289511552 |
L(r)(E,1)/r! |
Ω |
0.51964970699213 |
Real period |
R |
0.31592207921917 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ex1 29040bf1 116160hf1 |
Quadratic twists by: -4 8 -11 |