Atkin-Lehner |
3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27495j |
Isogeny class |
Conductor |
27495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-25435651995 = -1 · 311 · 5 · 13 · 472 |
Discriminant |
Eigenvalues |
0 3- 5- 1 3 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8472,300240] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-41:1] |
Generators of the group modulo torsion |
j |
-92247376789504/34891155 |
j-invariant |
L |
5.427150309412 |
L(r)(E,1)/r! |
Ω |
1.1711802468787 |
Real period |
R |
0.57923943857872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9165a1 |
Quadratic twists by: -3 |