Atkin-Lehner |
2- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4588b |
Isogeny class |
Conductor |
4588 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1764 |
Modular degree for the optimal curve |
Δ |
-18352 = -1 · 24 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 0 2 1 -6 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3704,-86767] |
[a1,a2,a3,a4,a6] |
Generators |
[94:629:1] |
Generators of the group modulo torsion |
j |
-351250267373568/1147 |
j-invariant |
L |
4.0378996331332 |
L(r)(E,1)/r! |
Ω |
0.30598618183386 |
Real period |
R |
4.3987821159471 |
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 |
18352l1 73408a1 41292e1 114700a1 |
Quadratic twists by: -4 8 -3 5 |