Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20664g |
Isogeny class |
Conductor |
20664 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3012918322176 = 210 · 36 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6219,-169290] |
[a1,a2,a3,a4,a6] |
Generators |
[615:15120:1] |
Generators of the group modulo torsion |
j |
35633452068/4036081 |
j-invariant |
L |
6.2692441929706 |
L(r)(E,1)/r! |
Ω |
0.54157511223738 |
Real period |
R |
2.8939864717337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41328i2 2296b2 |
Quadratic twists by: -4 -3 |