Atkin-Lehner |
2- 3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bq |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
239360 |
Modular degree for the optimal curve |
Δ |
180840038400000 = 222 · 33 · 55 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97757,11770981] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:4904:1] |
Generators of the group modulo torsion |
j |
3826479394535933043/6697779200000 |
j-invariant |
L |
8.8138328343217 |
L(r)(E,1)/r! |
Ω |
0.56962365244168 |
Real period |
R |
0.28132874291964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45990d1 |
Quadratic twists by: -3 |