Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53820s |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
275428155600 = 24 · 311 · 52 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16572,-820739] |
[a1,a2,a3,a4,a6] |
Generators |
[49830:596791:216] |
Generators of the group modulo torsion |
j |
43152004562944/23613525 |
j-invariant |
L |
6.7507152487042 |
L(r)(E,1)/r! |
Ω |
0.42079453191657 |
Real period |
R |
8.0213913639821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940e1 |
Quadratic twists by: -3 |