Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bj |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
789516288 = 212 · 33 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2153,37719] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:264:1] |
Generators of the group modulo torsion |
j |
269586136000/192753 |
j-invariant |
L |
9.4040388725956 |
L(r)(E,1)/r! |
Ω |
1.5784505032371 |
Real period |
R |
0.99296101486396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608d1 62304c1 |
Quadratic twists by: -4 8 |