Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102p |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
31236192 = 25 · 36 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 3 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-918,-10476] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:9:1] |
Generators of the group modulo torsion |
j |
117433042273/42848 |
j-invariant |
L |
2.8423087251453 |
L(r)(E,1)/r! |
Ω |
0.86731372804931 |
Real period |
R |
1.6385701236034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678n1 |
Quadratic twists by: -3 |