Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050bq |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40734720 |
Modular degree for the optimal curve |
Δ |
-3.0827573340371E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-618287292,-5977274142384] |
[a1,a2,a3,a4,a6] |
j |
-2813198004118489/33177600000 |
j-invariant |
L |
1.6337691618747 |
L(r)(E,1)/r! |
Ω |
0.015127492113245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350cz1 15210br1 76050eu1 |
Quadratic twists by: -3 5 13 |