Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gj |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-50544000000000000 = -1 · 216 · 35 · 512 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,71967,7884063] |
[a1,a2,a3,a4,a6] |
Generators |
[543:14400:1] |
Generators of the group modulo torsion |
j |
40254822716/49359375 |
j-invariant |
L |
9.2285888548255 |
L(r)(E,1)/r! |
Ω |
0.23853629319891 |
Real period |
R |
1.9344202785261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400m1 15600i1 12480bx1 |
Quadratic twists by: -4 8 5 |