Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19188g |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
3005230286313216 = 28 · 33 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 -1 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1476063,-690243434] |
[a1,a2,a3,a4,a6] |
Generators |
[-143743706:473208:205379] |
Generators of the group modulo torsion |
j |
51455839111023712752/434784474293 |
j-invariant |
L |
3.2862141923822 |
L(r)(E,1)/r! |
Ω |
0.13696939937699 |
Real period |
R |
11.996161943214 |
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 |
76752bh1 19188c1 |
Quadratic twists by: -4 -3 |