Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140b |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
19914377570043600 = 24 · 3 · 52 · 77 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-816061,-283394414] |
[a1,a2,a3,a4,a6] |
Generators |
[35233298:599035476:29791] |
Generators of the group modulo torsion |
j |
3756402588992689537024/1244648598127725 |
j-invariant |
L |
3.5439002861781 |
L(r)(E,1)/r! |
Ω |
0.15884644155911 |
Real period |
R |
11.155113867815 |
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 |
112560ch1 84420v1 |
Quadratic twists by: -4 -3 |