Atkin-Lehner |
2- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50512h |
Isogeny class |
Conductor |
50512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-496760061952 = -1 · 216 · 75 · 11 · 41 |
Discriminant |
Eigenvalues |
2- -2 4 7+ 11- -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30976,2088372] |
[a1,a2,a3,a4,a6] |
j |
-802516169081089/121279312 |
j-invariant |
L |
1.7990112968723 |
L(r)(E,1)/r! |
Ω |
0.89950564911046 |
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 |
6314g1 |
Quadratic twists by: -4 |