Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400ck |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-13996800000000 = -1 · 214 · 37 · 58 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 2 3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6000,20000] |
[a1,a2,a3,a4,a6] |
Generators |
[49:657:1] |
Generators of the group modulo torsion |
j |
5120/3 |
j-invariant |
L |
5.6623443629923 |
L(r)(E,1)/r! |
Ω |
0.42714989975669 |
Real period |
R |
3.3140265081518 |
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 |
14400fc1 1800l1 4800m1 14400bn1 |
Quadratic twists by: -4 8 -3 5 |