Atkin-Lehner |
3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265bb |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-2038845265875 = -1 · 33 · 53 · 117 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- 1 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2985,-26944] |
[a1,a2,a3,a4,a6] |
Generators |
[18:181:1] |
Generators of the group modulo torsion |
j |
1659797504/1150875 |
j-invariant |
L |
6.8900176416381 |
L(r)(E,1)/r! |
Ω |
0.46780464740804 |
Real period |
R |
0.40912244030077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5115i1 |
Quadratic twists by: -11 |