Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824j |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1295411491584 = -1 · 28 · 36 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2772,-79380] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1260:1] |
Generators of the group modulo torsion |
j |
-9204921456208/5060201139 |
j-invariant |
L |
7.4439592126373 |
L(r)(E,1)/r! |
Ω |
0.32076245381147 |
Real period |
R |
1.2892820985652 |
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 |
9912a2 79296bs2 59472u2 |
Quadratic twists by: -4 8 -3 |