Atkin-Lehner |
2- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46354z |
Isogeny class |
Conductor |
46354 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-12075037612244992 = -1 · 216 · 77 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32782,5745739] |
[a1,a2,a3,a4,a6] |
Generators |
[49:2039:1] |
Generators of the group modulo torsion |
j |
-33116363266897/102636126208 |
j-invariant |
L |
14.971020712617 |
L(r)(E,1)/r! |
Ω |
0.35261696748961 |
Real period |
R |
1.3267778933042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622h1 |
Quadratic twists by: -7 |