Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816j |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-117697536 = -1 · 210 · 35 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 11+ 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1165,15709] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:172:1] [20:3:1] |
Generators of the group modulo torsion |
j |
-170912671744/114939 |
j-invariant |
L |
9.914655029473 |
L(r)(E,1)/r! |
Ω |
1.8482814601247 |
Real period |
R |
2.6821280317637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816cl1 11352f1 |
Quadratic twists by: -4 8 |