Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400dc |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-53226720000 = -1 · 28 · 35 · 54 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 0 -5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,867,5463] |
[a1,a2,a3,a4,a6] |
Generators |
[27:222:1] [3:90:1] |
Generators of the group modulo torsion |
j |
449945600/332667 |
j-invariant |
L |
10.08372619697 |
L(r)(E,1)/r! |
Ω |
0.71529714231231 |
Real period |
R |
0.23495424955781 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100e1 44400bi1 |
Quadratic twists by: -4 5 |