Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19188c |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
855360 |
Modular degree for the optimal curve |
Δ |
2190812878722334464 = 28 · 39 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 1 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13284567,18636572718] |
[a1,a2,a3,a4,a6] |
j |
51455839111023712752/434784474293 |
j-invariant |
L |
1.403761870823 |
L(r)(E,1)/r! |
Ω |
0.23396031180383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752z1 19188g1 |
Quadratic twists by: -4 -3 |