Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ek |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-2814995008800 = -1 · 25 · 36 · 52 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4595,-143373] |
[a1,a2,a3,a4,a6] |
Generators |
[2181:1262:27] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
10.294884420534 |
L(r)(E,1)/r! |
Ω |
0.28601151684899 |
Real period |
R |
3.5994649917955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450d1 76050cr3 450d1 |
Quadratic twists by: -3 5 13 |