Atkin-Lehner |
2- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40880j |
Isogeny class |
Conductor |
40880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26738790400 = 212 · 52 · 72 · 732 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1963,32538] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:210:1] [-6:210:1] |
Generators of the group modulo torsion |
j |
204232410369/6528025 |
j-invariant |
L |
8.3838764627321 |
L(r)(E,1)/r! |
Ω |
1.1811321167513 |
Real period |
R |
3.5490849600264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2555c2 |
Quadratic twists by: -4 |