Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150by |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1776390750000 = -1 · 24 · 39 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 2 -7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2187,51531] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:132:1] |
Generators of the group modulo torsion |
j |
205083359/314928 |
j-invariant |
L |
8.8390745464995 |
L(r)(E,1)/r! |
Ω |
0.56938648335904 |
Real period |
R |
1.9404821691444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2166e1 54150r1 |
Quadratic twists by: 5 -19 |