Atkin-Lehner |
2- 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380f |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10937916000000 = 28 · 36 · 56 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180423,-29497122] |
[a1,a2,a3,a4,a6] |
j |
3480422102131536/58609375 |
j-invariant |
L |
2.7797661706542 |
L(r)(E,1)/r! |
Ω |
0.23164718049412 |
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 |
6820b2 |
Quadratic twists by: -3 |