Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050et |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-813319101562500000 = -1 · 25 · 36 · 513 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-197255,-54902753] |
[a1,a2,a3,a4,a6] |
Generators |
[7489:643130:1] |
Generators of the group modulo torsion |
j |
-2609064081/2500000 |
j-invariant |
L |
12.553057181045 |
L(r)(E,1)/r! |
Ω |
0.10900553258469 |
Real period |
R |
2.878995424362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450a1 15210l1 76050br1 |
Quadratic twists by: -3 5 13 |