Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bn |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-136970180345856 = -1 · 214 · 3 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12624,-780096] |
[a1,a2,a3,a4,a6] |
Generators |
[115255:1964556:343] |
Generators of the group modulo torsion |
j |
-30664297/18876 |
j-invariant |
L |
5.5209861847525 |
L(r)(E,1)/r! |
Ω |
0.21906717371984 |
Real period |
R |
6.3005630768756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438bc1 6864n1 |
Quadratic twists by: -4 -11 |