Atkin-Lehner |
2- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
48598f |
Isogeny class |
Conductor |
48598 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
194392 = 23 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 0 0 1 11+ -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
158625/88 |
j-invariant |
L |
8.8787229816122 |
L(r)(E,1)/r! |
Ω |
2.6136800268823 |
Real period |
R |
1.1323399562168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48598i1 |
Quadratic twists by: -47 |