Atkin-Lehner |
7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25333a |
Isogeny class |
Conductor |
25333 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2524400593099 = -1 · 79 · 113 · 47 |
Discriminant |
Eigenvalues |
-1 -2 3 7- 11+ 6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24354,1462831] |
[a1,a2,a3,a4,a6] |
j |
-13578365403793/21457051 |
j-invariant |
L |
1.6249626664206 |
L(r)(E,1)/r! |
Ω |
0.81248133321013 |
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 |
3619a1 |
Quadratic twists by: -7 |