Atkin-Lehner |
2+ 5+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550n |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9234001562500 = 22 · 58 · 112 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12067,491841] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:833:1] |
Generators of the group modulo torsion |
j |
12437178535809/590976100 |
j-invariant |
L |
4.6713785794378 |
L(r)(E,1)/r! |
Ω |
0.7211363289308 |
Real period |
R |
1.6194505737131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027804 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24310u2 |
Quadratic twists by: 5 |