Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040bh |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
-1771200000000 = -1 · 212 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -5 -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,888,-63216] |
[a1,a2,a3,a4,a6] |
Generators |
[33:45:1] [48:300:1] |
Generators of the group modulo torsion |
j |
700227072/16015625 |
j-invariant |
L |
9.3394033050046 |
L(r)(E,1)/r! |
Ω |
0.40598381599034 |
Real period |
R |
0.71888666933603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59040d1 118080i1 59040a1 |
Quadratic twists by: -4 8 -3 |