Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20640f |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
4 |
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 |
2.22354441938 |
L(r)(E,1)/r! |
Ω |
0.55588610484501 |
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 |
20640b1 41280cq1 61920bx1 103200bx1 |
Quadratic twists by: -4 8 -3 5 |