Atkin-Lehner |
2- 3+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650ci |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
-18779250000000 = -1 · 27 · 3 · 59 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-255763,-49892719] |
[a1,a2,a3,a4,a6] |
j |
-947342304149597/9614976 |
j-invariant |
L |
1.486065291005 |
L(r)(E,1)/r! |
Ω |
0.1061475210907 |
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 |
76650bo1 |
Quadratic twists by: 5 |