Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850db |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-1353735834000 = -1 · 24 · 3 · 53 · 11 · 295 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13528,-609328] |
[a1,a2,a3,a4,a6] |
Generators |
[3954:18148:27] |
Generators of the group modulo torsion |
j |
-2190364990541909/10829886672 |
j-invariant |
L |
11.041477632179 |
L(r)(E,1)/r! |
Ω |
0.22127510566097 |
Real period |
R |
6.2374151845889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850v1 |
Quadratic twists by: 5 |