Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688ca |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
537021928009728 = 212 · 32 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22752,715968] |
[a1,a2,a3,a4,a6] |
Generators |
[261:3534:1] |
Generators of the group modulo torsion |
j |
7880599/3249 |
j-invariant |
L |
6.9741249663786 |
L(r)(E,1)/r! |
Ω |
0.47106644986398 |
Real period |
R |
3.701242663537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2793k2 44688dq2 |
Quadratic twists by: -4 -7 |