Atkin-Lehner |
2- 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568x |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18560 |
Modular degree for the optimal curve |
Δ |
32657408 = 212 · 7 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 0 0 7- 3 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[73:619:1] |
Generators of the group modulo torsion |
j |
13824000/7973 |
j-invariant |
L |
7.5625156734705 |
L(r)(E,1)/r! |
Ω |
1.7404337690636 |
Real period |
R |
4.3451900694785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000189818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973d1 |
Quadratic twists by: -4 |