Atkin-Lehner |
2+ 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
45024d |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
16 |
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 |
[730:7515:8] |
Generators of the group modulo torsion |
j |
4821669844984/20188912149 |
j-invariant |
L |
6.3502312572089 |
L(r)(E,1)/r! |
Ω |
0.36581847312079 |
Real period |
R |
4.3397420604697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024j2 90048b3 |
Quadratic twists by: -4 8 |