Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bg |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
8642632089600 = 218 · 39 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16227,782946] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1026:1] |
Generators of the group modulo torsion |
j |
5861208627/107200 |
j-invariant |
L |
7.3171951021971 |
L(r)(E,1)/r! |
Ω |
0.73432034718698 |
Real period |
R |
2.4911454279478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030e1 48240bb1 |
Quadratic twists by: -4 -3 |