Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040ct |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
538560 |
Modular degree for the optimal curve |
Δ |
-104633737719264000 = -1 · 28 · 311 · 53 · 13 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-703685,227501775] |
[a1,a2,a3,a4,a6] |
Generators |
[235:8670:1] |
Generators of the group modulo torsion |
j |
-150528677004615417856/408725537965875 |
j-invariant |
L |
9.2898630246754 |
L(r)(E,1)/r! |
Ω |
0.33623760035039 |
Real period |
R |
0.083723831140084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13260g1 |
Quadratic twists by: -4 |