Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300ci |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4091370525792000 = 28 · 38 · 53 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51828,3322548] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:2178:1] |
Generators of the group modulo torsion |
j |
271593488/72171 |
j-invariant |
L |
8.0850429644098 |
L(r)(E,1)/r! |
Ω |
0.41031469722438 |
Real period |
R |
1.2315307950064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108900dn2 36300bc2 3300r2 |
Quadratic twists by: -3 5 -11 |