Atkin-Lehner |
2+ 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150h |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
139968 |
Modular degree for the optimal curve |
Δ |
-1024649740800 = -1 · 29 · 39 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2510,6580] |
[a1,a2,a3,a4,a6] |
j |
69909224927855/40985989632 |
j-invariant |
L |
1.0626215422264 |
L(r)(E,1)/r! |
Ω |
0.53131073513712 |
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 |
87150cw1 |
Quadratic twists by: 5 |