Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474bi |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-3026856148992 = -1 · 215 · 39 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2725,-63989] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1658:1] |
Generators of the group modulo torsion |
j |
315046125/425984 |
j-invariant |
L |
11.489243724361 |
L(r)(E,1)/r! |
Ω |
0.42650749488806 |
Real period |
R |
0.89793214683879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474d1 84474f2 |
Quadratic twists by: -3 -19 |