Atkin-Lehner |
11+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98527b |
Isogeny class |
Conductor |
98527 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1193472 |
Modular degree for the optimal curve |
Δ |
-4259689539642251 = -1 · 11 · 1310 · 532 |
Discriminant |
Eigenvalues |
0 -3 1 0 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-623272,189419298] |
[a1,a2,a3,a4,a6] |
Generators |
[572:4478:1] |
Generators of the group modulo torsion |
j |
-5547488993869824/882506339 |
j-invariant |
L |
1.9869347587507 |
L(r)(E,1)/r! |
Ω |
0.42332162722588 |
Real period |
R |
1.1734191168234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7579e1 |
Quadratic twists by: 13 |