Atkin-Lehner |
2+ 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410j |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1021440 |
Modular degree for the optimal curve |
Δ |
1159661781162500 = 22 · 55 · 79 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11+ -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-421768,-105591828] |
[a1,a2,a3,a4,a6] |
Generators |
[-5352644723418:1336786354396:14190064461] |
Generators of the group modulo torsion |
j |
205619282645167/28737500 |
j-invariant |
L |
6.2891150542353 |
L(r)(E,1)/r! |
Ω |
0.18734178599686 |
Real period |
R |
16.78513693626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102410q1 |
Quadratic twists by: -7 |