Atkin-Lehner |
3- 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395k |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-99910687058325 = -1 · 39 · 52 · 11 · 13 · 175 |
Discriminant |
Eigenvalues |
1 3- 5+ -5 11+ 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6435,521950] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:650:1] [398:7604:1] |
Generators of the group modulo torsion |
j |
-40427771258161/137051696925 |
j-invariant |
L |
10.703609802963 |
L(r)(E,1)/r! |
Ω |
0.52445502387515 |
Real period |
R |
0.51022534419262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36465m1 |
Quadratic twists by: -3 |