Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
744a |
Isogeny class |
Conductor |
744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
-4464 = -1 · 24 · 32 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 0 -6 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
340736/279 |
j-invariant |
L |
1.917681406667 |
L(r)(E,1)/r! |
Ω |
2.4148251946979 |
Real period |
R |
0.19853211434078 |
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 |
1488e1 5952l1 2232i1 18600y1 |
Quadratic twists by: -4 8 -3 5 |