Atkin-Lehner |
2- 3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
20670bc |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5000592333750 = -1 · 2 · 3 · 54 · 132 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3945,50127] |
[a1,a2,a3,a4,a6] |
Generators |
[8756:109307:64] |
Generators of the group modulo torsion |
j |
6789813638795279/5000592333750 |
j-invariant |
L |
9.6974852580847 |
L(r)(E,1)/r! |
Ω |
0.48961043618634 |
Real period |
R |
2.4758166241359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62010j3 103350g3 |
Quadratic twists by: -3 5 |