Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824q |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1025820958032 = 24 · 310 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4026,85399] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1701:8] |
Generators of the group modulo torsion |
j |
618724784128/87947613 |
j-invariant |
L |
5.4599129929191 |
L(r)(E,1)/r! |
Ω |
0.84176936751978 |
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 |
15912j1 127296cc1 10608k1 |
Quadratic twists by: -4 8 -3 |