Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200g |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
219600000000 = 210 · 32 · 58 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32408,-2234688] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:8:1] |
Generators of the group modulo torsion |
j |
235273937476/13725 |
j-invariant |
L |
5.480696057256 |
L(r)(E,1)/r! |
Ω |
0.3558253625799 |
Real period |
R |
1.9253461927243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600z2 14640i2 |
Quadratic twists by: -4 5 |