Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486r |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-563162960044053054 = -1 · 2 · 38 · 7 · 1910 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24435,-36129461] |
[a1,a2,a3,a4,a6] |
j |
-361/126 |
j-invariant |
L |
0.52209577531312 |
L(r)(E,1)/r! |
Ω |
0.13052394384572 |
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 |
15162u1 45486bk1 |
Quadratic twists by: -3 -19 |