Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730c |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-719309736061875000 = -1 · 23 · 39 · 57 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-490740,138591656] |
[a1,a2,a3,a4,a6] |
Generators |
[-803:4195:1] |
Generators of the group modulo torsion |
j |
-664029376954518483/36544720625000 |
j-invariant |
L |
3.0745044725028 |
L(r)(E,1)/r! |
Ω |
0.28179270208386 |
Real period |
R |
5.4552592202609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44730bc1 |
Quadratic twists by: -3 |