Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800mc |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-2678462640000000 = -1 · 210 · 314 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13800,2567000] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3400:1] |
Generators of the group modulo torsion |
j |
-24918016/229635 |
j-invariant |
L |
5.372173172203 |
L(r)(E,1)/r! |
Ω |
0.38868846612455 |
Real period |
R |
3.4553206712157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800fi1 25200bc1 33600el1 20160fh1 |
Quadratic twists by: -4 8 -3 5 |