Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920ea |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
15673437480960000 = 214 · 310 · 54 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111747,-13055614] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:880:1] [-193:1150:1] |
Generators of the group modulo torsion |
j |
51682540549249/5249002500 |
j-invariant |
L |
12.319551098539 |
L(r)(E,1)/r! |
Ω |
0.26283052760906 |
Real period |
R |
2.9295377161314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14490bc2 38640bj2 |
Quadratic twists by: -4 -3 |