Atkin-Lehner |
2- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550bk |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
176375000000 = 26 · 59 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -3 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3888,-92719] |
[a1,a2,a3,a4,a6] |
Generators |
[-1005:1739:27] |
Generators of the group modulo torsion |
j |
3327970157/90304 |
j-invariant |
L |
16.750179368881 |
L(r)(E,1)/r! |
Ω |
0.60560150871066 |
Real period |
R |
2.3048956460776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550m1 |
Quadratic twists by: 5 |