Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576cb |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
7.8818238328119E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 11+ 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11542849,-15030057503] |
[a1,a2,a3,a4,a6] |
j |
648817971720191270353/3006677182316544 |
j-invariant |
L |
2.9494762801781 |
L(r)(E,1)/r! |
Ω |
0.081929896677169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576bu1 12144bl1 |
Quadratic twists by: -4 8 |