Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
33200be |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-8703180800 = -1 · 222 · 52 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 4 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35248,2558912] |
[a1,a2,a3,a4,a6] |
Generators |
[136:512:1] |
Generators of the group modulo torsion |
j |
-47297644854745/84992 |
j-invariant |
L |
4.2172863322124 |
L(r)(E,1)/r! |
Ω |
1.1166920927278 |
Real period |
R |
0.94414708398057 |
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 |
4150i1 33200bh1 |
Quadratic twists by: -4 5 |