Atkin-Lehner |
2- 5- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
48760b |
Isogeny class |
Conductor |
48760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
48128 |
Modular degree for the optimal curve |
Δ |
-403793750000 = -1 · 24 · 58 · 23 · 532 |
Discriminant |
Eigenvalues |
2- 1 5- -2 0 -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1580,38453] |
[a1,a2,a3,a4,a6] |
Generators |
[26:125:1] [47:265:1] |
Generators of the group modulo torsion |
j |
-27280343301376/25237109375 |
j-invariant |
L |
10.718221918485 |
L(r)(E,1)/r! |
Ω |
0.86468111345977 |
Real period |
R |
0.3873618027951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97520b1 |
Quadratic twists by: -4 |