Atkin-Lehner |
2+ 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920d |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-160746854400 = -1 · 211 · 33 · 52 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,584,18316] |
[a1,a2,a3,a4,a6] |
j |
10737135502/78489675 |
j-invariant |
L |
1.489360239544 |
L(r)(E,1)/r! |
Ω |
0.74468011979903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840t2 122760cg2 |
Quadratic twists by: -4 -3 |