Atkin-Lehner |
3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
54747l |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-4829178123 = -1 · 38 · 7 · 113 · 79 |
Discriminant |
Eigenvalues |
0 3- -2 7+ 11- 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,204,-3150] |
[a1,a2,a3,a4,a6] |
Generators |
[14:49:1] [20:94:1] |
Generators of the group modulo torsion |
j |
1287913472/6624387 |
j-invariant |
L |
7.2747910602265 |
L(r)(E,1)/r! |
Ω |
0.68846549442728 |
Real period |
R |
0.88055624175735 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18249j1 |
Quadratic twists by: -3 |