Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648p |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1210974526153728 = 210 · 33 · 72 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 6 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54992,-4691088] |
[a1,a2,a3,a4,a6] |
Generators |
[739:18942:1] |
Generators of the group modulo torsion |
j |
381775972/25137 |
j-invariant |
L |
9.516986696929 |
L(r)(E,1)/r! |
Ω |
0.31305169816205 |
Real period |
R |
5.0667811698527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296t1 3192l1 |
Quadratic twists by: -4 -19 |