Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400bv |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
95904000000000 = 214 · 34 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126208,-17209088] |
[a1,a2,a3,a4,a6] |
Generators |
[2042:90750:1] |
Generators of the group modulo torsion |
j |
27790593389/11988 |
j-invariant |
L |
4.6708308553849 |
L(r)(E,1)/r! |
Ω |
0.25330209999505 |
Real period |
R |
4.6099409119368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550bo1 44400dj1 |
Quadratic twists by: -4 5 |