Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
7200q |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-373248000 = -1 · 212 · 36 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,180,0] |
[a1,a2,a3,a4,a6] |
Generators |
[6:36:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.1539668150286 |
L(r)(E,1)/r! |
Ω |
1.0123695915042 |
Real period |
R |
0.51290147021017 |
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 |
7200q2 14400ej1 800h2 7200br2 |
Quadratic twists by: -4 8 -3 5 |