Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33300i |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1.24625374875E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-418800,-199325500] |
[a1,a2,a3,a4,a6] |
Generators |
[860:8750:1] |
Generators of the group modulo torsion |
j |
-2785840267264/4273846875 |
j-invariant |
L |
5.6046591226796 |
L(r)(E,1)/r! |
Ω |
0.089010905357451 |
Real period |
R |
2.6235826105481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100b1 6660f1 |
Quadratic twists by: -3 5 |