Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48300y |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-67187232000 = -1 · 28 · 34 · 53 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2388,45828] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:294:1] [-12:270:1] |
Generators of the group modulo torsion |
j |
-47082395792/2099601 |
j-invariant |
L |
10.549262303685 |
L(r)(E,1)/r! |
Ω |
1.0895302894951 |
Real period |
R |
0.40343311262196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48300m2 |
Quadratic twists by: 5 |