Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300s |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
118863281250000 = 24 · 33 · 512 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-252533,48758688] |
[a1,a2,a3,a4,a6] |
j |
7124261256822784/475453125 |
j-invariant |
L |
3.3602187229365 |
L(r)(E,1)/r! |
Ω |
0.56003645386482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9660b1 |
Quadratic twists by: 5 |