Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5814a |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-41293725696 = -1 · 214 · 33 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -3 -2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,861,-1259] |
[a1,a2,a3,a4,a6] |
Generators |
[6:61:1] |
Generators of the group modulo torsion |
j |
2612676520917/1529397248 |
j-invariant |
L |
2.7913279380769 |
L(r)(E,1)/r! |
Ω |
0.67438768738617 |
Real period |
R |
1.0347638273527 |
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 |
46512p1 5814n1 98838b1 110466z1 |
Quadratic twists by: -4 -3 17 -19 |