Atkin-Lehner |
2+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350a |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
7578156250000 = 24 · 59 · 74 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4942,19716] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:348:1] |
Generators of the group modulo torsion |
j |
854400197169/485002000 |
j-invariant |
L |
3.5631970407451 |
L(r)(E,1)/r! |
Ω |
0.63776721557571 |
Real period |
R |
2.7934934202666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7070f1 |
Quadratic twists by: 5 |