Atkin-Lehner |
2+ 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050u |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
890820000000 = 28 · 32 · 57 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116126,15221648] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:5616:1] [117:1741:1] |
Generators of the group modulo torsion |
j |
11083749724489681/57012480 |
j-invariant |
L |
10.47340374617 |
L(r)(E,1)/r! |
Ω |
0.78558069679743 |
Real period |
R |
1.6665066668349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210w1 |
Quadratic twists by: 5 |