Atkin-Lehner |
2- 3- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890cf |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3539137145954688180 = -1 · 22 · 310 · 5 · 710 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2920307,1923699719] |
[a1,a2,a3,a4,a6] |
Generators |
[7542:18581:8] |
Generators of the group modulo torsion |
j |
-3778170674421777695209/4854783464958420 |
j-invariant |
L |
10.553391204317 |
L(r)(E,1)/r! |
Ω |
0.24932891278942 |
Real period |
R |
5.2908982189834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630e2 |
Quadratic twists by: -3 |