Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200a |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
43680000000 = 211 · 3 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1456008,676714512] |
[a1,a2,a3,a4,a6] |
Generators |
[698:46:1] |
Generators of the group modulo torsion |
j |
10667565439614722/1365 |
j-invariant |
L |
5.3424026028999 |
L(r)(E,1)/r! |
Ω |
0.64937583651469 |
Real period |
R |
2.0567452283531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600w4 21840v4 |
Quadratic twists by: -4 5 |