Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300ck |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
414935136000 = 28 · 37 · 53 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87015,9879550] |
[a1,a2,a3,a4,a6] |
Generators |
[179:-198:1] |
Generators of the group modulo torsion |
j |
3123406998416/17787 |
j-invariant |
L |
5.1983724608596 |
L(r)(E,1)/r! |
Ω |
0.83985165168885 |
Real period |
R |
0.51580264700652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100be2 69300cq2 |
Quadratic twists by: -3 5 |