Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
21252n |
Isogeny class |
Conductor |
21252 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
84676177203518208 = 28 · 3 · 76 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1892588,-1002682188] |
[a1,a2,a3,a4,a6] |
Generators |
[-6355980:2501499:8000] |
Generators of the group modulo torsion |
j |
2928547163447514754000/330766317201243 |
j-invariant |
L |
6.3605823925741 |
L(r)(E,1)/r! |
Ω |
0.12871775554017 |
Real period |
R |
8.235826215119 |
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 |
85008bg4 63756ba4 |
Quadratic twists by: -4 -3 |