Atkin-Lehner |
2+ 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120a |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-230212800 = -1 · 26 · 33 · 52 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27,728] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] [4:30:1] |
Generators of the group modulo torsion |
j |
1259712/133225 |
j-invariant |
L |
11.056950374452 |
L(r)(E,1)/r! |
Ω |
1.3540529337255 |
Real period |
R |
2.0414546024295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105120b1 105120t1 |
Quadratic twists by: -4 -3 |