Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648d |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-137318716416 = -1 · 210 · 3 · 73 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 5 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-17796] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1748:1] |
Generators of the group modulo torsion |
j |
-1444/1029 |
j-invariant |
L |
5.8497922065768 |
L(r)(E,1)/r! |
Ω |
0.4665741158204 |
Real period |
R |
2.0896259237096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296bg1 60648bh1 |
Quadratic twists by: -4 -19 |