Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dt |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-5649750000 = -1 · 24 · 36 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525,5875] |
[a1,a2,a3,a4,a6] |
Generators |
[26:99:1] |
Generators of the group modulo torsion |
j |
-87808/31 |
j-invariant |
L |
5.9475723259625 |
L(r)(E,1)/r! |
Ω |
1.2737796144282 |
Real period |
R |
2.3346159395988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999045029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27900k1 12400p1 4464u1 |
Quadratic twists by: -4 -3 5 |