Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14960a |
Isogeny class |
Conductor |
14960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-18414395648000 = -1 · 211 · 53 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 11- -3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163,-206462] |
[a1,a2,a3,a4,a6] |
Generators |
[71:374:1] |
Generators of the group modulo torsion |
j |
-233860338/8991404125 |
j-invariant |
L |
2.6524870948722 |
L(r)(E,1)/r! |
Ω |
0.31439571845786 |
Real period |
R |
0.35153244504025 |
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 |
7480a1 59840bj1 74800k1 |
Quadratic twists by: -4 8 5 |