Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300g |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-15649200 = -1 · 24 · 35 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 0 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-578] |
[a1,a2,a3,a4,a6] |
j |
-655360000/39123 |
j-invariant |
L |
2.1001785492702 |
L(r)(E,1)/r! |
Ω |
0.70005951642105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300z1 |
Quadratic twists by: 5 |