Atkin-Lehner |
2- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
33200bi |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-212480000 = -1 · 212 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- -1 -3 -6 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,450] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] [1:24:1] |
Generators of the group modulo torsion |
j |
84375/83 |
j-invariant |
L |
7.9453962984025 |
L(r)(E,1)/r! |
Ω |
1.1689778084344 |
Real period |
R |
1.6992188048985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2075d1 33200p1 |
Quadratic twists by: -4 5 |