Atkin-Lehner |
3- 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51471h |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2828800 |
Modular degree for the optimal curve |
Δ |
1.1533862028033E+22 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 4 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7847879,-6699369850] |
[a1,a2,a3,a4,a6] |
Generators |
[-9374715340:147408383835:4657463] |
Generators of the group modulo torsion |
j |
73325161316667048071977/15821484263419841937 |
j-invariant |
L |
4.834885126782 |
L(r)(E,1)/r! |
Ω |
0.091582491176827 |
Real period |
R |
13.198169935823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157h1 |
Quadratic twists by: -3 |