Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584bf |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-43962439385088 = -1 · 214 · 37 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-587235,173207522] |
[a1,a2,a3,a4,a6] |
Generators |
[439:-126:1] |
Generators of the group modulo torsion |
j |
-7500185978118625/14722932 |
j-invariant |
L |
6.6126798413986 |
L(r)(E,1)/r! |
Ω |
0.55030669162639 |
Real period |
R |
0.30040884210964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9198c1 24528k1 |
Quadratic twists by: -4 -3 |