Atkin-Lehner |
2- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33200bh |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
-135987200000000 = -1 · 222 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- 0 4 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-881208,318101588] |
[a1,a2,a3,a4,a6] |
Generators |
[14466:-6400:27] |
Generators of the group modulo torsion |
j |
-47297644854745/84992 |
j-invariant |
L |
6.8409136537204 |
L(r)(E,1)/r! |
Ω |
0.49939988585515 |
Real period |
R |
1.1415223630535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150h1 33200be1 |
Quadratic twists by: -4 5 |