Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824p |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6310317312 = 28 · 38 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471,934] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:68:1] |
Generators of the group modulo torsion |
j |
61918288/33813 |
j-invariant |
L |
5.9296116655155 |
L(r)(E,1)/r! |
Ω |
1.1662061648136 |
Real period |
R |
1.271132807479 |
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 |
15912q2 127296cb2 10608j2 |
Quadratic twists by: -4 8 -3 |