Atkin-Lehner |
2+ 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920m |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
76291964100000000 = 28 · 38 · 58 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2092540,1165710100] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:35640:1] |
Generators of the group modulo torsion |
j |
3958268588053954464976/298015484765625 |
j-invariant |
L |
4.1657014457021 |
L(r)(E,1)/r! |
Ω |
0.32767747071736 |
Real period |
R |
1.589101257321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81840bd2 122760bm2 |
Quadratic twists by: -4 -3 |