Atkin-Lehner |
2- 7- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
124432n |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
7511710976 = 28 · 74 · 112 · 101 |
Discriminant |
Eigenvalues |
2- -2 3 7- 11+ -1 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1149,14023] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:154:1] |
Generators of the group modulo torsion |
j |
655876022272/29342621 |
j-invariant |
L |
6.5416049213461 |
L(r)(E,1)/r! |
Ω |
1.3060410923718 |
Real period |
R |
0.31304552382083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997478557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31108c1 |
Quadratic twists by: -4 |