Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400dc |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-138450255750000 = -1 · 24 · 33 · 56 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8625,-644625] |
[a1,a2,a3,a4,a6] |
Generators |
[9060:63075:64] |
Generators of the group modulo torsion |
j |
-10512288000/20511149 |
j-invariant |
L |
8.8542412081983 |
L(r)(E,1)/r! |
Ω |
0.23296225243434 |
Real period |
R |
1.9003596314111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26100h1 104400cr1 4176s1 |
Quadratic twists by: -4 -3 5 |