Atkin-Lehner |
2+ 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650q |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
238496906250 = 2 · 36 · 56 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8001,-275102] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:57:1] |
Generators of the group modulo torsion |
j |
3624586490881/15263802 |
j-invariant |
L |
5.6690859676925 |
L(r)(E,1)/r! |
Ω |
0.5049286538864 |
Real period |
R |
1.8712498363877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3306g2 |
Quadratic twists by: 5 |