Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
2400z |
Isogeny class |
Conductor |
2400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
10125000000 = 26 · 34 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13458,605412] |
[a1,a2,a3,a4,a6] |
Generators |
[66:18:1] |
Generators of the group modulo torsion |
j |
2156689088/81 |
j-invariant |
L |
2.965177176122 |
L(r)(E,1)/r! |
Ω |
1.2061518190523 |
Real period |
R |
1.2291890329576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2400bh1 4800cq2 7200y1 2400q1 |
Quadratic twists by: -4 8 -3 5 |