Atkin-Lehner |
2+ 3+ 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650i |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-30468096000 = -1 · 214 · 33 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -2 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1535,-25275] |
[a1,a2,a3,a4,a6] |
Generators |
[46:41:1] |
Generators of the group modulo torsion |
j |
-3203176271021/243744768 |
j-invariant |
L |
2.7537678601335 |
L(r)(E,1)/r! |
Ω |
0.37967492628959 |
Real period |
R |
1.8132405325118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650cv1 |
Quadratic twists by: 5 |