Atkin-Lehner |
2- 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5814n |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-30103126032384 = -1 · 214 · 39 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7747,26245] |
[a1,a2,a3,a4,a6] |
Generators |
[67:884:1] |
Generators of the group modulo torsion |
j |
2612676520917/1529397248 |
j-invariant |
L |
5.2340993721759 |
L(r)(E,1)/r! |
Ω |
0.40050847151455 |
Real period |
R |
0.15557899830679 |
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 |
46512t1 5814a1 98838x1 110466c1 |
Quadratic twists by: -4 -3 17 -19 |