Atkin-Lehner |
2- 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bl |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
23926460662440000 = 26 · 35 · 54 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83056,5396369] |
[a1,a2,a3,a4,a6] |
j |
1570199061367/592920000 |
j-invariant |
L |
2.0756934618223 |
L(r)(E,1)/r! |
Ω |
0.34594892597495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670cj1 |
Quadratic twists by: -7 |