Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456r |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-25752071356416 = -1 · 214 · 33 · 175 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2080,-247564] |
[a1,a2,a3,a4,a6] |
Generators |
[74:96:1] |
Generators of the group modulo torsion |
j |
-243087455521/6287126796 |
j-invariant |
L |
8.0876802801966 |
L(r)(E,1)/r! |
Ω |
0.29040787910189 |
Real period |
R |
2.320781924951 |
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 |
4182e1 100368bx1 |
Quadratic twists by: -4 -3 |