Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57816c |
Isogeny class |
Conductor |
57816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
534528 |
Modular degree for the optimal curve |
Δ |
638643224508588288 = 28 · 324 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-262695,34746554] |
[a1,a2,a3,a4,a6] |
Generators |
[1065:133496:27] |
Generators of the group modulo torsion |
j |
10742655249394000/3422085179337 |
j-invariant |
L |
6.9793583069881 |
L(r)(E,1)/r! |
Ω |
0.26641895157818 |
Real period |
R |
6.5492322013933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115632c1 19272c1 |
Quadratic twists by: -4 -3 |