Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79800bm |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-5005056000 = -1 · 211 · 3 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-768,9132] |
[a1,a2,a3,a4,a6] |
j |
-195944362/19551 |
j-invariant |
L |
2.6642600911921 |
L(r)(E,1)/r! |
Ω |
1.3321300269977 |
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 |
79800u1 |
Quadratic twists by: 5 |