Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584f |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-1211714735551488 = -1 · 210 · 39 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24195,2214322] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-882:1] |
Generators of the group modulo torsion |
j |
-2098326698500/1623203253 |
j-invariant |
L |
7.138393137153 |
L(r)(E,1)/r! |
Ω |
0.44634872861824 |
Real period |
R |
0.57117360420645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36792c1 24528f1 |
Quadratic twists by: -4 -3 |