Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792bm |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
18385920 |
Modular degree for the optimal curve |
Δ |
4.9918284544791E+25 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -6 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106518657,251952555999] |
[a1,a2,a3,a4,a6] |
Generators |
[-1484035:272646144:343] |
Generators of the group modulo torsion |
j |
509871621645082002682657/190423143557704974336 |
j-invariant |
L |
4.0515860451509 |
L(r)(E,1)/r! |
Ω |
0.057914154556147 |
Real period |
R |
3.4979238461032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792cj1 1806h1 |
Quadratic twists by: -4 8 |