Atkin-Lehner |
2+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450l |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1246168000 = -1 · 26 · 53 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,238,-1004] |
[a1,a2,a3,a4,a6] |
Generators |
[9:38:1] |
Generators of the group modulo torsion |
j |
11899199187/9969344 |
j-invariant |
L |
2.6753689332912 |
L(r)(E,1)/r! |
Ω |
0.84732609324431 |
Real period |
R |
0.78935635122224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65450bo1 |
Quadratic twists by: 5 |