Atkin-Lehner |
2+ 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530g |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
731136 |
Modular degree for the optimal curve |
Δ |
-12350216448000000 = -1 · 214 · 310 · 56 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 2 4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28215,-5033075] |
[a1,a2,a3,a4,a6] |
j |
3407435858352239/16941312000000 |
j-invariant |
L |
1.6123339604353 |
L(r)(E,1)/r! |
Ω |
0.20154174179013 |
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 |
24510k1 |
Quadratic twists by: -3 |