Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bu |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-83030400 = -1 · 27 · 33 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -1 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-878,10237] |
[a1,a2,a3,a4,a6] |
Generators |
[13:23:1] |
Generators of the group modulo torsion |
j |
-2881749987/3200 |
j-invariant |
L |
10.00157017513 |
L(r)(E,1)/r! |
Ω |
1.9140064289385 |
Real period |
R |
0.18662368608039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490g1 86490bq1 |
Quadratic twists by: -3 -31 |