Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cw |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-5.71299075E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 5 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,725867,-1124832637] |
[a1,a2,a3,a4,a6] |
Generators |
[7478:650025:1] |
Generators of the group modulo torsion |
j |
660867352100864/8926548046875 |
j-invariant |
L |
8.0630000270077 |
L(r)(E,1)/r! |
Ω |
0.080181625194945 |
Real period |
R |
4.1899666368652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3225b1 10320z1 |
Quadratic twists by: -4 5 |