Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36100i |
Isogeny class |
Conductor |
36100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
7220000000 = 28 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -3 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2533,-48063] |
[a1,a2,a3,a4,a6] |
Generators |
[-771:350:27] |
Generators of the group modulo torsion |
j |
1245184/5 |
j-invariant |
L |
9.7366578486134 |
L(r)(E,1)/r! |
Ω |
0.67310275957755 |
Real period |
R |
2.4108893998901 |
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 |
7220e1 36100d1 |
Quadratic twists by: 5 -19 |