Atkin-Lehner |
2- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109648o |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-2161381376 = -1 · 212 · 72 · 112 · 89 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11+ 4 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151632,22777216] |
[a1,a2,a3,a4,a6] |
Generators |
[226:22:1] |
Generators of the group modulo torsion |
j |
-94132418755192273/527681 |
j-invariant |
L |
3.619026822313 |
L(r)(E,1)/r! |
Ω |
0.99756853125164 |
Real period |
R |
0.45348097887424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999722135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853d1 |
Quadratic twists by: -4 |