Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9386l |
Isogeny class |
Conductor |
9386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-20621042 = -1 · 2 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3 0 0 3 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-600,-5507] |
[a1,a2,a3,a4,a6] |
j |
-66068051625/57122 |
j-invariant |
L |
7.7176623759191 |
L(r)(E,1)/r! |
Ω |
0.48235389849495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088bi1 84474u1 122018o1 9386d1 |
Quadratic twists by: -4 -3 13 -19 |