Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5824l |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-11927552 = -1 · 217 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -3 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-193] |
[a1,a2,a3,a4,a6] |
Generators |
[19:80:1] |
Generators of the group modulo torsion |
j |
-31250/91 |
j-invariant |
L |
4.5901209765394 |
L(r)(E,1)/r! |
Ω |
0.91949484612095 |
Real period |
R |
1.2480007353776 |
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 |
5824u1 728a1 52416ct1 40768s1 |
Quadratic twists by: -4 8 -3 -7 |