Atkin-Lehner |
3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265bb |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1053684294938715 = -1 · 3 · 5 · 119 · 313 |
Discriminant |
Eigenvalues |
0 3- 5- 1 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33315,2802641] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:1996:1] |
Generators of the group modulo torsion |
j |
-2308341661696/594777315 |
j-invariant |
L |
6.8900176416381 |
L(r)(E,1)/r! |
Ω |
0.46780464740804 |
Real period |
R |
1.2273673209023 |
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 |
5115i2 |
Quadratic twists by: -11 |