Atkin-Lehner |
2+ 3- 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934q |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
137216 |
Modular degree for the optimal curve |
Δ |
94494181392 = 24 · 37 · 132 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1458,15876] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:162:1] [-17:197:1] |
Generators of the group modulo torsion |
j |
470366406433/129621648 |
j-invariant |
L |
6.5693276754633 |
L(r)(E,1)/r! |
Ω |
0.99677391404123 |
Real period |
R |
0.82382368481885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42978u1 |
Quadratic twists by: -3 |