Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824q |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29358565696512 = 210 · 310 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264891,-52473926] |
[a1,a2,a3,a4,a6] |
Generators |
[755:13338:1] |
Generators of the group modulo torsion |
j |
2753580869496292/39328497 |
j-invariant |
L |
5.4599129929191 |
L(r)(E,1)/r! |
Ω |
0.21044234187995 |
Real period |
R |
3.2431169412866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15912j3 127296cc4 10608k3 |
Quadratic twists by: -4 8 -3 |