Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210l |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
1108125559409156640 = 25 · 319 · 5 · 115 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11+ 3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75944589,-254744106008] |
[a1,a2,a3,a4,a6] |
Generators |
[-5032:2544:1] |
Generators of the group modulo torsion |
j |
48441124061138257597391458249/1108125559409156640 |
j-invariant |
L |
3.7335819980864 |
L(r)(E,1)/r! |
Ω |
0.05114172197693 |
Real period |
R |
3.8423484406215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97680bb1 36630bp1 61050bi1 |
Quadratic twists by: -4 -3 5 |