Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200a |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-50565060000000000 = -1 · 211 · 34 · 510 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78008,13714512] |
[a1,a2,a3,a4,a6] |
Generators |
[98:2646:1] |
Generators of the group modulo torsion |
j |
-1640577425762/1580158125 |
j-invariant |
L |
5.3424026028999 |
L(r)(E,1)/r! |
Ω |
0.32468791825735 |
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 |
54600w3 21840v3 |
Quadratic twists by: -4 5 |