Atkin-Lehner |
3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
4599c |
Isogeny class |
Conductor |
4599 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-2514975976611 = -1 · 315 · 74 · 73 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 0 4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2082,84609] |
[a1,a2,a3,a4,a6] |
Generators |
[29:220:1] |
Generators of the group modulo torsion |
j |
-1369110052864/3449898459 |
j-invariant |
L |
3.2433750655287 |
L(r)(E,1)/r! |
Ω |
0.71900950826483 |
Real period |
R |
1.1277232874694 |
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 |
73584bg1 1533b1 114975y1 32193c1 |
Quadratic twists by: -4 -3 5 -7 |