Atkin-Lehner |
2- 3- 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570bz |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
20726587625088600 = 23 · 311 · 52 · 194 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70637,-2040451] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:976:1] |
Generators of the group modulo torsion |
j |
53467165164868489/28431533093400 |
j-invariant |
L |
9.3533007617178 |
L(r)(E,1)/r! |
Ω |
0.31111149654371 |
Real period |
R |
1.2526726622316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999960108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190m2 |
Quadratic twists by: -3 |