Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400ed |
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 |
[192390:5744375:216] |
Generators of the group modulo torsion |
j |
85184/5625 |
j-invariant |
L |
5.3529677345533 |
L(r)(E,1)/r! |
Ω |
0.37237737869444 |
Real period |
R |
7.1875576240974 |
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 |
14400eg1 7200bn4 4800bn1 2880bh1 |
Quadratic twists by: -4 8 -3 5 |