Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296bg |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
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 |
[-16:126:1] |
Generators of the group modulo torsion |
j |
-1444/1029 |
j-invariant |
L |
8.9930997602917 |
L(r)(E,1)/r! |
Ω |
0.83787624771776 |
Real period |
R |
1.7888679346385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60648d1 121296p1 |
Quadratic twists by: -4 -19 |