Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20640b |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-257602680000000 = -1 · 29 · 34 · 57 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -4 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69256,-7034444] |
[a1,a2,a3,a4,a6] |
j |
-71751706663500872/503130234375 |
j-invariant |
L |
1.7650378298615 |
L(r)(E,1)/r! |
Ω |
0.14708648582179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20640f1 41280dg1 61920cd1 103200cm1 |
Quadratic twists by: -4 8 -3 5 |