Atkin-Lehner |
2- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950bi |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1854400000000 = -1 · 212 · 58 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2063,74617] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-211:1] |
Generators of the group modulo torsion |
j |
-62146192681/118681600 |
j-invariant |
L |
5.7275064675209 |
L(r)(E,1)/r! |
Ω |
0.74380298991138 |
Real period |
R |
0.6416917007331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11590c1 |
Quadratic twists by: 5 |