Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640c |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7810214400 = 29 · 39 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 6 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8883,322218] |
[a1,a2,a3,a4,a6] |
Generators |
[58:46:1] |
Generators of the group modulo torsion |
j |
7692038424/775 |
j-invariant |
L |
3.7376357628344 |
L(r)(E,1)/r! |
Ω |
1.2609323413491 |
Real period |
R |
2.9641842312076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640d2 89280dp2 44640be2 |
Quadratic twists by: -4 8 -3 |