Atkin-Lehner |
2- 3+ 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570be |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
184228560000 = 27 · 33 · 54 · 19 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39017,2976041] |
[a1,a2,a3,a4,a6] |
Generators |
[-1762:8247:8] [111:4:1] |
Generators of the group modulo torsion |
j |
243282647648042163/6823280000 |
j-invariant |
L |
16.227695918195 |
L(r)(E,1)/r! |
Ω |
0.94013830851628 |
Real period |
R |
0.61646309202075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570a2 |
Quadratic twists by: -3 |