Atkin-Lehner |
3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
62001k |
Isogeny class |
Conductor |
62001 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
413280 |
Modular degree for the optimal curve |
Δ |
-19782181171438083 = -1 · 36 · 837 |
Discriminant |
Eigenvalues |
-1 3- -2 -3 -3 6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,60709,-3570978] |
[a1,a2,a3,a4,a6] |
Generators |
[47292:909642:343] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
2.2449073619207 |
L(r)(E,1)/r! |
Ω |
0.21384827746302 |
Real period |
R |
5.2488319958888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6889a1 747d1 |
Quadratic twists by: -3 -83 |