Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950ci |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
71054172000000 = 28 · 36 · 56 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-239763,-45205983] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:177:1] |
Generators of the group modulo torsion |
j |
97555170295563625/4547467008 |
j-invariant |
L |
11.847770390719 |
L(r)(E,1)/r! |
Ω |
0.21575219308251 |
Real period |
R |
1.1440372692224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2478a2 |
Quadratic twists by: 5 |