Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920a |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20763135360000 = 210 · 32 · 54 · 112 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-635816,195351516] |
[a1,a2,a3,a4,a6] |
Generators |
[386:2700:1] |
Generators of the group modulo torsion |
j |
27759957450611359396/20276499375 |
j-invariant |
L |
4.4926187950994 |
L(r)(E,1)/r! |
Ω |
0.56608128246828 |
Real period |
R |
1.9840873273149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840w2 122760cb2 |
Quadratic twists by: -4 -3 |