Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32300i |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-252343750000 = -1 · 24 · 511 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 -2 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,742,22637] |
[a1,a2,a3,a4,a6] |
Generators |
[1141:54375:343] |
Generators of the group modulo torsion |
j |
180472064/1009375 |
j-invariant |
L |
8.6983328745886 |
L(r)(E,1)/r! |
Ω |
0.71104208713144 |
Real period |
R |
6.1166090109237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200bn1 6460f1 |
Quadratic twists by: -4 5 |