Atkin-Lehner |
2- 3+ 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650ca |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
69356225320312500 = 22 · 34 · 59 · 194 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-243263,44307281] |
[a1,a2,a3,a4,a6] |
Generators |
[-265:9632:1] |
Generators of the group modulo torsion |
j |
815120770195997/35510387364 |
j-invariant |
L |
8.371884136889 |
L(r)(E,1)/r! |
Ω |
0.34333033450958 |
Real period |
R |
1.5240213463603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82650bf2 |
Quadratic twists by: 5 |