Atkin-Lehner |
5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445bf |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-128824817371473475 = -1 · 52 · 78 · 197 |
Discriminant |
Eigenvalues |
2 0 5- 7+ -3 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,123823,-4117115] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:63255:8] |
Generators of the group modulo torsion |
j |
774144/475 |
j-invariant |
L |
11.66358454502 |
L(r)(E,1)/r! |
Ω |
0.19060584037674 |
Real period |
R |
5.0993473076881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445u1 4655m1 |
Quadratic twists by: -7 -19 |