Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5814o |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-384420304733184 = -1 · 210 · 319 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41648,-3394285] |
[a1,a2,a3,a4,a6] |
Generators |
[585:12829:1] |
Generators of the group modulo torsion |
j |
-10958947844677561/527325520896 |
j-invariant |
L |
5.185098331106 |
L(r)(E,1)/r! |
Ω |
0.16663050791863 |
Real period |
R |
0.77793352427968 |
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 |
46512w1 1938e1 98838bd1 110466h1 |
Quadratic twists by: -4 -3 17 -19 |