Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400bp |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5056344000000000 = 212 · 37 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43500,700000] |
[a1,a2,a3,a4,a6] |
Generators |
[450:8500:1] |
Generators of the group modulo torsion |
j |
1560896/867 |
j-invariant |
L |
7.925384938298 |
L(r)(E,1)/r! |
Ω |
0.37389696537436 |
Real period |
R |
2.6495885707823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999109812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400dy2 40800bz2 122400eh2 |
Quadratic twists by: -4 -3 5 |