Atkin-Lehner |
2- 3+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
83448h |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
381696 |
Modular degree for the optimal curve |
Δ |
-238471686144 = -1 · 211 · 33 · 19 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 4 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-332331,-73740218] |
[a1,a2,a3,a4,a6] |
j |
-73407859182041382/4312639 |
j-invariant |
L |
5.3687180406823 |
L(r)(E,1)/r! |
Ω |
0.09942070624998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83448b1 |
Quadratic twists by: -3 |