Atkin-Lehner |
2- 3- 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050cd |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
78566400 |
Modular degree for the optimal curve |
Δ |
-1.8003460898577E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-267238388,-2644810282608] |
[a1,a2,a3,a4,a6] |
j |
-1080662803792581355957421/921777198007119038208 |
j-invariant |
L |
5.1905489270133 |
L(r)(E,1)/r! |
Ω |
0.018022738824351 |
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 |
115050s1 |
Quadratic twists by: 5 |