Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11152s |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
3222928 = 24 · 173 · 41 |
Discriminant |
Eigenvalues |
2- -1 0 1 0 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[9:17:1] |
Generators of the group modulo torsion |
j |
389344000/201433 |
j-invariant |
L |
3.4496295187644 |
L(r)(E,1)/r! |
Ω |
2.0298029472233 |
Real period |
R |
0.56649661871257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2788b1 44608bi1 100368bq1 |
Quadratic twists by: -4 8 -3 |