Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486b |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
7.1624589957775E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6104397,4139136613] |
[a1,a2,a3,a4,a6] |
Generators |
[4653375978:-73166139637:2146689] |
Generators of the group modulo torsion |
j |
19804628171203875/5638671302656 |
j-invariant |
L |
4.6960311575811 |
L(r)(E,1)/r! |
Ω |
0.12334817328123 |
Real period |
R |
9.5178368529311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45486x3 2394h1 |
Quadratic twists by: -3 -19 |