Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
46200cb |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-27391980000000 = -1 · 28 · 3 · 57 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -6 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11033,-508563] |
[a1,a2,a3,a4,a6] |
Generators |
[127:350:1] |
Generators of the group modulo torsion |
j |
-37135043584/6847995 |
j-invariant |
L |
4.547155135835 |
L(r)(E,1)/r! |
Ω |
0.23060400039815 |
Real period |
R |
1.6432047752729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400ch1 9240m1 |
Quadratic twists by: -4 5 |