Atkin-Lehner |
2+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
121040g |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
658457600 = 210 · 52 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -4 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-256,900] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:34:1] [-14:44:1] [-8:50:1] |
Generators of the group modulo torsion |
j |
1819026436/643025 |
j-invariant |
L |
10.149611980055 |
L(r)(E,1)/r! |
Ω |
1.4834745607324 |
Real period |
R |
1.7104459100706 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999996663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60520c1 |
Quadratic twists by: -4 |