Atkin-Lehner |
2- 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87514h |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
130368 |
Modular degree for the optimal curve |
Δ |
-5214434176 = -1 · 27 · 74 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 3 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30022,-1994667] |
[a1,a2,a3,a4,a6] |
j |
-1246340914381521/2171776 |
j-invariant |
L |
2.5388600528305 |
L(r)(E,1)/r! |
Ω |
0.18134715162162 |
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 |
87514t1 |
Quadratic twists by: -7 |