Atkin-Lehner |
3+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119145d |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
883584 |
Modular degree for the optimal curve |
Δ |
85385361074018265 = 36 · 5 · 139 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-132415,-12150988] |
[a1,a2,a3,a4,a6] |
Generators |
[-1850:20793:8] |
Generators of the group modulo torsion |
j |
24212815957/8051805 |
j-invariant |
L |
2.8914260002876 |
L(r)(E,1)/r! |
Ω |
0.25695751968092 |
Real period |
R |
5.626272323469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000130426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119145b1 |
Quadratic twists by: 13 |