Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
35828i |
Isogeny class |
Conductor |
35828 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21168 |
Modular degree for the optimal curve |
Δ |
-65490144512 = -1 · 28 · 136 · 53 |
Discriminant |
Eigenvalues |
2- -1 2 2 -2 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732,14728] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2404:1] |
Generators of the group modulo torsion |
j |
-35152/53 |
j-invariant |
L |
5.2054259135283 |
L(r)(E,1)/r! |
Ω |
0.99019876866502 |
Real period |
R |
5.2569505015098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
212a1 |
Quadratic twists by: 13 |