Atkin-Lehner |
2+ 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650x |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
297216 |
Modular degree for the optimal curve |
Δ |
-3389166562500 = -1 · 22 · 39 · 57 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -5 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17401,886448] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:746:1] [73:-118:1] |
Generators of the group modulo torsion |
j |
-37289832236929/216906660 |
j-invariant |
L |
9.407209136289 |
L(r)(E,1)/r! |
Ω |
0.79752101454028 |
Real period |
R |
0.16382725980464 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530u1 |
Quadratic twists by: 5 |