Atkin-Lehner |
2- 3- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504bh |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-2490952176 = -1 · 24 · 36 · 31 · 832 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -6 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,90,-2349] |
[a1,a2,a3,a4,a6] |
Generators |
[15:51:1] [39:249:1] |
Generators of the group modulo torsion |
j |
4983067904/155684511 |
j-invariant |
L |
13.676528794962 |
L(r)(E,1)/r! |
Ω |
0.69790816827438 |
Real period |
R |
1.6330382487521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30876a1 |
Quadratic twists by: -4 |