Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400fa |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
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] |
j |
-102400/3 |
j-invariant |
L |
2.2903381316022 |
L(r)(E,1)/r! |
Ω |
0.57258453290056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14400cm1 3600bp1 4800bw1 14400eb2 |
Quadratic twists by: -4 8 -3 5 |