Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600bl |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
69312000 = 29 · 3 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,-348] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10:1] [13:4:1] |
Generators of the group modulo torsion |
j |
3652264/1083 |
j-invariant |
L |
7.2508068112956 |
L(r)(E,1)/r! |
Ω |
1.4508486890458 |
Real period |
R |
2.4988156470209 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600t2 91200ei2 45600w2 |
Quadratic twists by: -4 8 5 |