Atkin-Lehner |
2+ 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20664f |
Isogeny class |
Conductor |
20664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
20995946496 = 211 · 36 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -6 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,10222] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:1193:8] |
Generators of the group modulo torsion |
j |
76545506/14063 |
j-invariant |
L |
5.9178324052702 |
L(r)(E,1)/r! |
Ω |
1.1525065899028 |
Real period |
R |
5.1347492995847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41328m1 2296a1 |
Quadratic twists by: -4 -3 |