Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45024j |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-10336723020288 = -1 · 29 · 316 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2816,142660] |
[a1,a2,a3,a4,a6] |
Generators |
[1407:17668:27] |
Generators of the group modulo torsion |
j |
4821669844984/20188912149 |
j-invariant |
L |
3.5550455785493 |
L(r)(E,1)/r! |
Ω |
0.5164030305552 |
Real period |
R |
6.8842461569621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024d2 90048z3 |
Quadratic twists by: -4 8 |