Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450bn |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
369307564062500 = 22 · 58 · 78 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47188,-3839508] |
[a1,a2,a3,a4,a6] |
Generators |
[1692:68154:1] |
Generators of the group modulo torsion |
j |
6321363049/200900 |
j-invariant |
L |
6.1589215704349 |
L(r)(E,1)/r! |
Ω |
0.3245539795952 |
Real period |
R |
4.7441427104865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999750136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20090d1 14350u1 |
Quadratic twists by: 5 -7 |