Atkin-Lehner |
7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32851a |
Isogeny class |
Conductor |
32851 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5832 |
Modular degree for the optimal curve |
Δ |
-11859211 = -1 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
1 -2 1 7+ 4 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,165] |
[a1,a2,a3,a4,a6] |
Generators |
[11:32:1] |
Generators of the group modulo torsion |
j |
-361/91 |
j-invariant |
L |
4.1043149465917 |
L(r)(E,1)/r! |
Ω |
1.8407312070034 |
Real period |
R |
0.74323995648684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32851i1 |
Quadratic twists by: -19 |