Atkin-Lehner |
2+ 3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090br |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
-5.0496650644239E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1790199,10851270493] |
[a1,a2,a3,a4,a6] |
Generators |
[1262:-103591:1] |
Generators of the group modulo torsion |
j |
-870362660116472101489/69268382228036992000 |
j-invariant |
L |
4.9778794201429 |
L(r)(E,1)/r! |
Ω |
0.092803642060667 |
Real period |
R |
0.44699030768062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010o1 |
Quadratic twists by: -3 |