Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
14640bm |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1327837224960 = -1 · 213 · 312 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400,-55660] |
[a1,a2,a3,a4,a6] |
Generators |
[68:486:1] |
Generators of the group modulo torsion |
j |
-1732323601/324179010 |
j-invariant |
L |
6.0231637418678 |
L(r)(E,1)/r! |
Ω |
0.38219398705784 |
Real period |
R |
0.65664339160098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1830h1 58560cd1 43920bs1 73200br1 |
Quadratic twists by: -4 8 -3 5 |