Atkin-Lehner |
2+ 3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bf |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
137374218000 = 24 · 38 · 53 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1631,-18142] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:97:1] |
Generators of the group modulo torsion |
j |
3835241850077/1098993744 |
j-invariant |
L |
6.2914885485389 |
L(r)(E,1)/r! |
Ω |
0.76770996670117 |
Real period |
R |
0.51219607848329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82650ca1 |
Quadratic twists by: 5 |