Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400g |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1152978750000 = -1 · 24 · 32 · 57 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1617,-45738] |
[a1,a2,a3,a4,a6] |
Generators |
[1958:86636:1] |
Generators of the group modulo torsion |
j |
1869154304/4611915 |
j-invariant |
L |
4.6546911392035 |
L(r)(E,1)/r! |
Ω |
0.4481871930724 |
Real period |
R |
5.1927980224606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200cz1 18480bg1 |
Quadratic twists by: -4 5 |