Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650a |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
182034216000000000 = 212 · 36 · 59 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-643125,197182125] |
[a1,a2,a3,a4,a6] |
Generators |
[-735:16905:1] |
Generators of the group modulo torsion |
j |
1882742462388824401/11650189824000 |
j-invariant |
L |
2.4905078045159 |
L(r)(E,1)/r! |
Ω |
0.32178446072115 |
Real period |
R |
1.9349192615877 |
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 |
109200fz1 40950dm1 2730bd1 95550ej1 |
Quadratic twists by: -4 -3 5 -7 |