Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bd |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
8.8579260846031E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-230450501,-1345783150852] |
[a1,a2,a3,a4,a6] |
Generators |
[-8628:20851:1] |
Generators of the group modulo torsion |
j |
86623684689189325642735681/56690726941459561860 |
j-invariant |
L |
4.5943746709138 |
L(r)(E,1)/r! |
Ω |
0.038750044110647 |
Real period |
R |
0.9262841614844 |
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 |
109200cz8 40950eg8 2730v7 95550bn8 |
Quadratic twists by: -4 -3 5 -7 |