Atkin-Lehner |
2- 3+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450bj |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18413568 |
Modular degree for the optimal curve |
Δ |
-2.5182660860156E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46986313,-126315592969] |
[a1,a2,a3,a4,a6] |
j |
-734205762761839770204361/16116902950500000000 |
j-invariant |
L |
0.92143019448455 |
L(r)(E,1)/r! |
Ω |
0.028794696069282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17490p1 |
Quadratic twists by: 5 |