Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400bv |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-255091680000000000 = -1 · 214 · 313 · 510 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -6 -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-210000,-44300000] |
[a1,a2,a3,a4,a6] |
j |
-8780800/2187 |
j-invariant |
L |
1.981208349056 |
L(r)(E,1)/r! |
Ω |
0.11006713050311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14400ei1 1800i1 4800ba1 14400cp1 |
Quadratic twists by: -4 8 -3 5 |