Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338i |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
424540579968 = 27 · 312 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 4 -4 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1881,2349] |
[a1,a2,a3,a4,a6] |
Generators |
[45:63:1] |
Generators of the group modulo torsion |
j |
161822257/93312 |
j-invariant |
L |
4.8676531594402 |
L(r)(E,1)/r! |
Ω |
0.80276687579477 |
Real period |
R |
3.0317974139256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000171337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37446j1 112338e1 |
Quadratic twists by: -3 -79 |