Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408ct |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
1320384 = 26 · 3 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -2 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,114] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] [19:76:1] |
Generators of the group modulo torsion |
j |
150568768/20631 |
j-invariant |
L |
6.5378934865914 |
L(r)(E,1)/r! |
Ω |
2.609853707018 |
Real period |
R |
5.0101608906412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dp1 28704s2 |
Quadratic twists by: -4 8 |