Atkin-Lehner |
2+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
43610j |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-76073284000 = -1 · 25 · 53 · 74 · 892 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 3 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-989,-17627] |
[a1,a2,a3,a4,a6] |
Generators |
[39:25:1] |
Generators of the group modulo torsion |
j |
-44582807241/31684000 |
j-invariant |
L |
4.5285384846244 |
L(r)(E,1)/r! |
Ω |
0.41273089529819 |
Real period |
R |
1.8286889174104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43610c1 |
Quadratic twists by: -7 |