Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350dc |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1024870000 = 24 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1715238,-864781708] |
[a1,a2,a3,a4,a6] |
Generators |
[-20418:10210:27] |
Generators of the group modulo torsion |
j |
60988245367621825/112 |
j-invariant |
L |
10.960008491777 |
L(r)(E,1)/r! |
Ω |
0.13192237337042 |
Real period |
R |
2.3077562398926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350h2 42350bk2 |
Quadratic twists by: 5 -11 |