Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040u |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
34862529600 = 26 · 312 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89697,-10339864] |
[a1,a2,a3,a4,a6] |
Generators |
[-926289700:4662286:5359375] |
Generators of the group modulo torsion |
j |
1710605891820736/747225 |
j-invariant |
L |
6.9405227589606 |
L(r)(E,1)/r! |
Ω |
0.27587038856413 |
Real period |
R |
12.579318126371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040q1 118080eg1 19680p1 |
Quadratic twists by: -4 8 -3 |