Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850cg |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9461760 |
Modular degree for the optimal curve |
Δ |
187858580864062500 = 22 · 317 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-394427817,-3014985405159] |
[a1,a2,a3,a4,a6] |
Generators |
[-48119133553827:24030817814451:4196653397] |
Generators of the group modulo torsion |
j |
595770186172725915913801/16492385700 |
j-invariant |
L |
3.2785263423166 |
L(r)(E,1)/r! |
Ω |
0.033877212681446 |
Real period |
R |
12.097093011516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950cy1 11970bs1 |
Quadratic twists by: -3 5 |