Atkin-Lehner |
2- 3+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082be |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
672768 |
Modular degree for the optimal curve |
Δ |
-22920652772766 = -1 · 2 · 39 · 78 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 4 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101954,12557647] |
[a1,a2,a3,a4,a6] |
j |
-50611941099/9898 |
j-invariant |
L |
2.6274373509062 |
L(r)(E,1)/r! |
Ω |
0.65685931899282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89082f1 12726g1 |
Quadratic twists by: -3 -7 |