Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bx |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
201526416000000 = 210 · 32 · 56 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-236608,44214788] |
[a1,a2,a3,a4,a6] |
Generators |
[238:1200:1] |
Generators of the group modulo torsion |
j |
91557481657828/12595401 |
j-invariant |
L |
9.9988966621188 |
L(r)(E,1)/r! |
Ω |
0.54431030363748 |
Real period |
R |
2.2962307910555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029313 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54600d4 4368d3 |
Quadratic twists by: -4 5 |