Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400cm |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-87480000 = -1 · 26 · 37 · 54 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 2 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,2050] |
[a1,a2,a3,a4,a6] |
Generators |
[11:9:1] |
Generators of the group modulo torsion |
j |
-102400/3 |
j-invariant |
L |
4.3313741114849 |
L(r)(E,1)/r! |
Ω |
1.9063287619294 |
Real period |
R |
1.1360511885424 |
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 |
14400fa1 225e1 4800bf1 14400bl2 |
Quadratic twists by: -4 8 -3 5 |