Atkin-Lehner |
3+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8547c |
Isogeny class |
Conductor |
8547 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2846151 = -1 · 33 · 7 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[2:5:1] [10:32:1] |
Generators of the group modulo torsion |
j |
3288008303/2846151 |
j-invariant |
L |
3.1120644896062 |
L(r)(E,1)/r! |
Ω |
1.4020908122498 |
Real period |
R |
4.4391767814425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25641j1 59829j1 94017c1 |
Quadratic twists by: -3 -7 -11 |