Atkin-Lehner |
2- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42160t |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
17715075536568320 = 214 · 5 · 178 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80747,-6081894] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:834:1] [-1422:13035:8] |
Generators of the group modulo torsion |
j |
14214871952803521/4324969613420 |
j-invariant |
L |
9.0656522605046 |
L(r)(E,1)/r! |
Ω |
0.28991076574789 |
Real period |
R |
31.270491929193 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5270e4 |
Quadratic twists by: -4 |