Atkin-Lehner |
3- 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
72891g |
Isogeny class |
Conductor |
72891 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-19729596267927 = -1 · 38 · 7 · 136 · 89 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19656,1086939] |
[a1,a2,a3,a4,a6] |
Generators |
[654:843:8] |
Generators of the group modulo torsion |
j |
-1152110255377537/27063918063 |
j-invariant |
L |
9.7008895735998 |
L(r)(E,1)/r! |
Ω |
0.68415631468061 |
Real period |
R |
2.3632244474151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24297d1 |
Quadratic twists by: -3 |