Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86490bq |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1249920 |
Modular degree for the optimal curve |
Δ |
-73689785634902400 = -1 · 27 · 33 · 52 · 318 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 1 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-843458,-298230719] |
[a1,a2,a3,a4,a6] |
j |
-2881749987/3200 |
j-invariant |
L |
2.2053770305494 |
L(r)(E,1)/r! |
Ω |
0.078763465935195 |
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 |
86490c1 86490bu1 |
Quadratic twists by: -3 -31 |