Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bz |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
62720 |
Modular degree for the optimal curve |
Δ |
-434775600000 = -1 · 27 · 37 · 55 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-212,31799] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-479:1] |
Generators of the group modulo torsion |
j |
-1439069689/596400000 |
j-invariant |
L |
9.301058368757 |
L(r)(E,1)/r! |
Ω |
0.76381678129037 |
Real period |
R |
0.086979145827737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910m1 |
Quadratic twists by: -3 |