Atkin-Lehner |
2+ 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450c |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1441440 |
Modular degree for the optimal curve |
Δ |
-437261250000000 = -1 · 27 · 3 · 510 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -5 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6827200,-6868976000] |
[a1,a2,a3,a4,a6] |
j |
-3603725017561582225/44775552 |
j-invariant |
L |
0.14009742371991 |
L(r)(E,1)/r! |
Ω |
0.046699141209757 |
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 |
48450ca1 |
Quadratic twists by: 5 |