Atkin-Lehner |
2+ 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49632b |
Isogeny class |
Conductor |
49632 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
158258878272 = 26 · 314 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1418,-7980] |
[a1,a2,a3,a4,a6] |
Generators |
[46:162:1] [40:30:1] |
Generators of the group modulo torsion |
j |
4930360408000/2472794973 |
j-invariant |
L |
10.598603830512 |
L(r)(E,1)/r! |
Ω |
0.81974537992317 |
Real period |
R |
1.8470201828327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49632a1 99264bm2 |
Quadratic twists by: -4 8 |