Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200bu |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-9720985911750000 = -1 · 24 · 313 · 56 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 -1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12525,4712875] |
[a1,a2,a3,a4,a6] |
Generators |
[305:6075:1] |
Generators of the group modulo torsion |
j |
1192310528/53338743 |
j-invariant |
L |
5.5494841417283 |
L(r)(E,1)/r! |
Ω |
0.30978040577953 |
Real period |
R |
1.1196407273749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400u1 17400o1 2088c1 |
Quadratic twists by: -4 -3 5 |