Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632v |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.2220254782312E+21 |
Discriminant |
Eigenvalues |
2- -2 0 4 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11687713,15283370079] |
[a1,a2,a3,a4,a6] |
Generators |
[970:69713:1] |
Generators of the group modulo torsion |
j |
673554036733995111625/4661657250332672 |
j-invariant |
L |
4.7143629862144 |
L(r)(E,1)/r! |
Ω |
0.15439406371629 |
Real period |
R |
5.0891021678988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632d4 11408h4 |
Quadratic twists by: -4 8 |