Atkin-Lehner |
13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54587a |
Isogeny class |
Conductor |
54587 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-130214192379947 = -1 · 136 · 175 · 19 |
Discriminant |
Eigenvalues |
0 3 2 -4 2 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7774,609118] |
[a1,a2,a3,a4,a6] |
Generators |
[1090830:16208641:27000] |
Generators of the group modulo torsion |
j |
-10764582912/26977283 |
j-invariant |
L |
9.3722615856213 |
L(r)(E,1)/r! |
Ω |
0.5175616069216 |
Real period |
R |
9.0542473209125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
323a1 |
Quadratic twists by: 13 |