Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85260x |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-6085756361815200000 = -1 · 28 · 32 · 55 · 72 · 297 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 0 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,389100,73342548] |
[a1,a2,a3,a4,a6] |
Generators |
[3531:213270:1] |
Generators of the group modulo torsion |
j |
519362086678410416/485152771190625 |
j-invariant |
L |
10.055939325836 |
L(r)(E,1)/r! |
Ω |
0.1564284360574 |
Real period |
R |
6.4284599281585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85260a1 |
Quadratic twists by: -7 |