Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856a |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1157336465472 = 26 · 39 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11+ 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2997,36180] |
[a1,a2,a3,a4,a6] |
Generators |
[48:54:1] |
Generators of the group modulo torsion |
j |
2363266368/918731 |
j-invariant |
L |
3.9070710551544 |
L(r)(E,1)/r! |
Ω |
0.78990588395345 |
Real period |
R |
2.4731244155428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856r1 107712n2 53856s1 |
Quadratic twists by: -4 8 -3 |