Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400dn |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12476160000000000 = 217 · 33 · 510 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216675,-38446750] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:608:1] |
Generators of the group modulo torsion |
j |
651038076963/7220000 |
j-invariant |
L |
5.3277611553772 |
L(r)(E,1)/r! |
Ω |
0.22143098030196 |
Real period |
R |
1.5037871922061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550b2 68400do2 13680y2 |
Quadratic twists by: -4 -3 5 |