Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6105k |
Isogeny class |
Conductor |
6105 |
Conductor |
∏ cp |
119 |
Product of Tamagawa factors cp |
deg |
28560 |
Modular degree for the optimal curve |
Δ |
-4106253620390625 = -1 · 317 · 57 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 11- -2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24420,3413025] |
[a1,a2,a3,a4,a6] |
Generators |
[915:26880:1] |
Generators of the group modulo torsion |
j |
-1610503980214409281/4106253620390625 |
j-invariant |
L |
3.4495858485884 |
L(r)(E,1)/r! |
Ω |
0.38800601671878 |
Real period |
R |
0.074710481604987 |
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 |
97680bq1 18315j1 30525i1 67155v1 |
Quadratic twists by: -4 -3 5 -11 |