Atkin-Lehner |
2- 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150bi |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-234476000 = -1 · 25 · 53 · 11 · 732 |
Discriminant |
Eigenvalues |
2- 1 5- -5 11- -6 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27,737] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:9:1] [16:65:1] |
Generators of the group modulo torsion |
j |
17373979/1875808 |
j-invariant |
L |
13.039116006897 |
L(r)(E,1)/r! |
Ω |
1.3523113337469 |
Real period |
R |
0.48210481127783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150r1 |
Quadratic twists by: 5 |