Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550cf |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-73180800 = -1 · 27 · 33 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-123,657] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-75:1] |
Generators of the group modulo torsion |
j |
-8236063705/2927232 |
j-invariant |
L |
7.8462784162478 |
L(r)(E,1)/r! |
Ω |
1.8293860528223 |
Real period |
R |
0.10211958950905 |
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 |
92400et1 34650u1 11550q1 80850ec1 |
Quadratic twists by: -4 -3 5 -7 |