Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472br |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
502677855138742272 = 228 · 311 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2576993,-1591050495] |
[a1,a2,a3,a4,a6] |
Generators |
[-15559657141:-5285145524:16974593] |
Generators of the group modulo torsion |
j |
7219775199978393625/1917563839488 |
j-invariant |
L |
3.7975144840734 |
L(r)(E,1)/r! |
Ω |
0.11915935753011 |
Real period |
R |
15.934604560367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472r1 16368s1 |
Quadratic twists by: -4 8 |