Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bk |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
192922992900000000 = 28 · 32 · 58 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-182508,21247488] |
[a1,a2,a3,a4,a6] |
Generators |
[3728:226200:1] |
Generators of the group modulo torsion |
j |
94875856/27225 |
j-invariant |
L |
7.0552039668568 |
L(r)(E,1)/r! |
Ω |
0.29630376423432 |
Real period |
R |
5.9526783137148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14520be2 6600bc2 |
Quadratic twists by: 5 -11 |