Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
10812h |
Isogeny class |
Conductor |
10812 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-38258597258496 = -1 · 28 · 310 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -4 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-262620,51714612] |
[a1,a2,a3,a4,a6] |
Generators |
[387:2862:1] |
Generators of the group modulo torsion |
j |
-7824719744386534096/149447645541 |
j-invariant |
L |
6.0097040510646 |
L(r)(E,1)/r! |
Ω |
0.59657223504369 |
Real period |
R |
0.33579080051244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43248t1 32436e1 |
Quadratic twists by: -4 -3 |