Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23700t |
Isogeny class |
Conductor |
23700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
2370000 = 24 · 3 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-479933,-128133312] |
[a1,a2,a3,a4,a6] |
Generators |
[-86466:1:216] |
Generators of the group modulo torsion |
j |
1222549509239603200/237 |
j-invariant |
L |
4.9218635599518 |
L(r)(E,1)/r! |
Ω |
0.18138623488463 |
Real period |
R |
3.0149681933216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800cc2 71100bb2 23700g2 |
Quadratic twists by: -4 -3 5 |