Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150cb |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
9357120 |
Modular degree for the optimal curve |
Δ |
-2.8173693057454E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47995138,130483606031] |
[a1,a2,a3,a4,a6] |
Generators |
[4121:-54045:1] |
Generators of the group modulo torsion |
j |
-1843005386785/42467328 |
j-invariant |
L |
5.9887734150888 |
L(r)(E,1)/r! |
Ω |
0.097501695857436 |
Real period |
R |
0.53879165556839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150p1 54150bk1 |
Quadratic twists by: 5 -19 |