Atkin-Lehner |
2- 3+ 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
90270s |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-5416200 = -1 · 23 · 33 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 4 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,139] |
[a1,a2,a3,a4,a6] |
Generators |
[7:11:1] |
Generators of the group modulo torsion |
j |
-130323843/200600 |
j-invariant |
L |
10.801687681984 |
L(r)(E,1)/r! |
Ω |
2.1659088791061 |
Real period |
R |
0.41559487952844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90270c1 |
Quadratic twists by: -3 |