Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240gn |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1381847040000 = 215 · 34 · 54 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35841,2623041] |
[a1,a2,a3,a4,a6] |
Generators |
[113:56:1] [120:189:1] |
Generators of the group modulo torsion |
j |
155391138846728/42170625 |
j-invariant |
L |
9.4721511279852 |
L(r)(E,1)/r! |
Ω |
0.83496642986963 |
Real period |
R |
1.4180437067413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240in4 57120cn4 |
Quadratic twists by: -4 8 |