Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646b |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-6398354128896 = -1 · 221 · 33 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 2 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4899,180757] |
[a1,a2,a3,a4,a6] |
Generators |
[47:206:1] |
Generators of the group modulo torsion |
j |
-98035951131/48234496 |
j-invariant |
L |
6.4724688003472 |
L(r)(E,1)/r! |
Ω |
0.70139054864429 |
Real period |
R |
2.3070131117027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646bn1 119646e1 |
Quadratic twists by: -3 17 |