Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440dk |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-443981915955302400 = -1 · 212 · 34 · 52 · 134 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95680,29998068] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:3150:1] [-44:5070:1] |
Generators of the group modulo torsion |
j |
23649541482640319/108394022450025 |
j-invariant |
L |
13.691701607256 |
L(r)(E,1)/r! |
Ω |
0.21300203107736 |
Real period |
R |
4.0174797683702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997483 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7215e4 |
Quadratic twists by: -4 |