Atkin-Lehner |
2+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662n |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
855360 |
Modular degree for the optimal curve |
Δ |
-392581999276544 = -1 · 29 · 72 · 118 · 73 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11- -6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42232,3470278] |
[a1,a2,a3,a4,a6] |
Generators |
[2748:11531:27] |
Generators of the group modulo torsion |
j |
-38859069337/1831424 |
j-invariant |
L |
6.3806747898146 |
L(r)(E,1)/r! |
Ω |
0.52841170409265 |
Real period |
R |
6.0375979354023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999411821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662x1 |
Quadratic twists by: -11 |