Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090da |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1.0826523898719E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7400307971,245542240679925] |
[a1,a2,a3,a4,a6] |
Generators |
[2086:15168475:1] |
Generators of the group modulo torsion |
j |
-302765284673144739899429761/731344538939408411220 |
j-invariant |
L |
12.563438643531 |
L(r)(E,1)/r! |
Ω |
0.033506072205104 |
Real period |
R |
5.8587508426464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bi6 |
Quadratic twists by: -23 |