Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cm |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-445019531250 = -1 · 2 · 3 · 511 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1035,-28995] |
[a1,a2,a3,a4,a6] |
Generators |
[654:5919:8] |
Generators of the group modulo torsion |
j |
2502202511711/9082031250 |
j-invariant |
L |
8.6427671154604 |
L(r)(E,1)/r! |
Ω |
0.47783929715158 |
Real period |
R |
1.6442894213371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570cq1 |
Quadratic twists by: -7 |