Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490x |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-910928081250 = -1 · 2 · 32 · 55 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ 0 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9848,-379744] |
[a1,a2,a3,a4,a6] |
Generators |
[120:352:1] |
Generators of the group modulo torsion |
j |
-79346245464611/684393750 |
j-invariant |
L |
7.1814248498923 |
L(r)(E,1)/r! |
Ω |
0.23950483827755 |
Real period |
R |
1.4992233364242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490ck1 |
Quadratic twists by: -11 |