Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400eg |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4100625000000 = -1 · 26 · 38 · 510 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,97000] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:306:1] |
Generators of the group modulo torsion |
j |
85184/5625 |
j-invariant |
L |
3.7957501010755 |
L(r)(E,1)/r! |
Ω |
0.59538487025489 |
Real period |
R |
3.1876440691636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14400ed1 7200bp4 4800ch1 2880bf1 |
Quadratic twists by: -4 8 -3 5 |