Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800v |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-214855200000000 = -1 · 211 · 33 · 58 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9592,608688] |
[a1,a2,a3,a4,a6] |
Generators |
[43:1050:1] |
Generators of the group modulo torsion |
j |
3049691902/6714225 |
j-invariant |
L |
9.8698389101303 |
L(r)(E,1)/r! |
Ω |
0.38974249942336 |
Real period |
R |
1.406888863468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24360p1 |
Quadratic twists by: 5 |