Atkin-Lehner |
11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39083d |
Isogeny class |
Conductor |
39083 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-69237918563 = -1 · 118 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 -1 -2 2 11- 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1026,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[50:398:1] |
Generators of the group modulo torsion |
j |
557183/323 |
j-invariant |
L |
2.0557197564059 |
L(r)(E,1)/r! |
Ω |
0.65153252401106 |
Real period |
R |
1.0517355520255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39083g1 |
Quadratic twists by: -11 |