Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474p |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.4873537993727E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7601103,-2733821091] |
[a1,a2,a3,a4,a6] |
Generators |
[-164146777725:-3312553031166:70444997] |
Generators of the group modulo torsion |
j |
1416134368422073/725251155408 |
j-invariant |
L |
5.2189297678656 |
L(r)(E,1)/r! |
Ω |
0.096057465803525 |
Real period |
R |
13.582832234453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28158r3 234d4 |
Quadratic twists by: -3 -19 |