Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872bi |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
514308644610048 = 213 · 32 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128288352,559236806388] |
[a1,a2,a3,a4,a6] |
Generators |
[-958:825384:1] |
Generators of the group modulo torsion |
j |
2361739090258884097/5202 |
j-invariant |
L |
6.2576347859517 |
L(r)(E,1)/r! |
Ω |
0.24095474351501 |
Real period |
R |
3.2462708010363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734i5 55488cp6 41616ci6 816h5 |
Quadratic twists by: -4 8 -3 17 |