Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128x |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2945322889082044416 = 220 · 312 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-610497,-164189025] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:3135:1] |
Generators of the group modulo torsion |
j |
95992014075197617/11235515171364 |
j-invariant |
L |
8.6635823413887 |
L(r)(E,1)/r! |
Ω |
0.17210108296049 |
Real period |
R |
2.0975033471507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40128bi4 1254g3 120384s4 |
Quadratic twists by: -4 8 -3 |