Atkin-Lehner |
2+ 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816r |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-175819776 = -1 · 210 · 3 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11- -4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,83,541] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] [9:44:1] |
Generators of the group modulo torsion |
j |
61011968/171699 |
j-invariant |
L |
7.2093281001431 |
L(r)(E,1)/r! |
Ω |
1.2682637025538 |
Real period |
R |
0.94740130220655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816ck1 11352m1 |
Quadratic twists by: -4 8 |