Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fn |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1062585216000 = -1 · 210 · 34 · 53 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285,49725] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:187:1] [5:220:1] |
Generators of the group modulo torsion |
j |
-2508888064/1037680875 |
j-invariant |
L |
9.490711759836 |
L(r)(E,1)/r! |
Ω |
0.70901234948722 |
Real period |
R |
1.115485008445 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920dm1 18480r1 |
Quadratic twists by: -4 8 |