Atkin-Lehner |
2- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
72688b |
Isogeny class |
Conductor |
72688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
220655181824 = 213 · 73 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 11+ 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1512,-784] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:72:1] |
Generators of the group modulo torsion |
j |
93391282153/53870894 |
j-invariant |
L |
7.1424988165421 |
L(r)(E,1)/r! |
Ω |
0.83480118971853 |
Real period |
R |
2.1389819827798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086c1 |
Quadratic twists by: -4 |