Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800go |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-41150592000000000 = -1 · 216 · 38 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64500,-7450000] |
[a1,a2,a3,a4,a6] |
Generators |
[676:18576:1] |
Generators of the group modulo torsion |
j |
318028/441 |
j-invariant |
L |
6.7454625146712 |
L(r)(E,1)/r! |
Ω |
0.19266779781097 |
Real period |
R |
4.3763556885477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800pp2 12600bb2 33600bk2 100800hp2 |
Quadratic twists by: -4 8 -3 5 |