Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48300j |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
58320 |
Modular degree for the optimal curve |
Δ |
-1331268750000 = -1 · 24 · 33 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,-55338] |
[a1,a2,a3,a4,a6] |
Generators |
[33:39:1] |
Generators of the group modulo torsion |
j |
5242880/213003 |
j-invariant |
L |
4.5259757927145 |
L(r)(E,1)/r! |
Ω |
0.41177607718872 |
Real period |
R |
3.6637839863588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300u1 |
Quadratic twists by: 5 |