Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665x |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
20833560376897905 = 311 · 5 · 77 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102983,-10631554] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:385:1] |
Generators of the group modulo torsion |
j |
1408317602329/242911305 |
j-invariant |
L |
2.9651655892089 |
L(r)(E,1)/r! |
Ω |
0.26964620278656 |
Real period |
R |
5.4982520772896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555u1 4095l1 |
Quadratic twists by: -3 -7 |