Atkin-Lehner |
7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139m |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
49896 |
Modular degree for the optimal curve |
Δ |
-13471265899 = -1 · 7 · 13 · 236 |
Discriminant |
Eigenvalues |
-2 0 3 7- 6 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,529,-3042] |
[a1,a2,a3,a4,a6] |
Generators |
[354:2613:8] |
Generators of the group modulo torsion |
j |
110592/91 |
j-invariant |
L |
3.7892904172289 |
L(r)(E,1)/r! |
Ω |
0.69613263283405 |
Real period |
R |
5.4433454754419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91a1 |
Quadratic twists by: -23 |