Atkin-Lehner |
2- 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550ba |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1032000 |
Modular degree for the optimal curve |
Δ |
7055535656187500000 = 25 · 59 · 175 · 433 |
Discriminant |
Eigenvalues |
2- 2 5- 3 -6 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-524138,70491031] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:13875:1] |
Generators of the group modulo torsion |
j |
8153248260148109/3612434255968 |
j-invariant |
L |
12.66445976727 |
L(r)(E,1)/r! |
Ω |
0.21218989358475 |
Real period |
R |
5.9684556852903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36550n1 |
Quadratic twists by: 5 |