Atkin-Lehner |
2+ 3- 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410j |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
551848334400 = 26 · 312 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2394,-26892] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:126:1] |
Generators of the group modulo torsion |
j |
2081951752609/756993600 |
j-invariant |
L |
5.0678285748839 |
L(r)(E,1)/r! |
Ω |
0.70324455296628 |
Real period |
R |
1.8015882787213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470bc1 |
Quadratic twists by: -3 |