Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040q |
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 |
[-232:4320:1] |
Generators of the group modulo torsion |
j |
1710605891820736/747225 |
j-invariant |
L |
7.8505068373211 |
L(r)(E,1)/r! |
Ω |
0.94624318102994 |
Real period |
R |
4.1482501510459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040u1 118080dx1 19680y1 |
Quadratic twists by: -4 8 -3 |