Atkin-Lehner |
2+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
48416f |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1172054528 = 29 · 172 · 892 |
Discriminant |
Eigenvalues |
2+ 2 2 0 4 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3112,67848] |
[a1,a2,a3,a4,a6] |
Generators |
[93324:402985:1728] |
Generators of the group modulo torsion |
j |
6511965086024/2289169 |
j-invariant |
L |
10.919181135459 |
L(r)(E,1)/r! |
Ω |
1.5118079648776 |
Real period |
R |
7.2225979682028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416h2 96832be2 |
Quadratic twists by: -4 8 |