Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20640i |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-10031040 = -1 · 26 · 36 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,54,0] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
267089984/156735 |
j-invariant |
L |
4.7477185872762 |
L(r)(E,1)/r! |
Ω |
1.3474053612274 |
Real period |
R |
1.1745335946888 |
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 |
20640o1 41280r1 61920cf1 103200bp1 |
Quadratic twists by: -4 8 -3 5 |