Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600f |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-192480468750000 = -1 · 24 · 33 · 514 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11217,482562] |
[a1,a2,a3,a4,a6] |
Generators |
[1819983970:-28481545604:14706125] |
Generators of the group modulo torsion |
j |
624273852416/769921875 |
j-invariant |
L |
6.2041052143259 |
L(r)(E,1)/r! |
Ω |
0.37961848825906 |
Real period |
R |
16.34300068485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43800n1 17520g1 |
Quadratic twists by: -4 5 |