Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23688t |
Isogeny class |
Conductor |
23688 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
26512983504 = 24 · 37 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2946,61045] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:315:1] [-18:329:1] |
Generators of the group modulo torsion |
j |
242423339008/2273061 |
j-invariant |
L |
7.133247006015 |
L(r)(E,1)/r! |
Ω |
1.1939928797337 |
Real period |
R |
0.49785661254013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376m1 7896c1 |
Quadratic twists by: -4 -3 |