Atkin-Lehner |
3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
11715h |
Isogeny class |
Conductor |
11715 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
-518845927875 = -1 · 3 · 53 · 117 · 71 |
Discriminant |
Eigenvalues |
2 3- 5- -2 11+ -4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1110,-31231] |
[a1,a2,a3,a4,a6] |
Generators |
[23406:253007:216] |
Generators of the group modulo torsion |
j |
151112828063744/518845927875 |
j-invariant |
L |
10.47140883252 |
L(r)(E,1)/r! |
Ω |
0.47272851431627 |
Real period |
R |
7.3836663224946 |
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 |
35145h1 58575b1 128865q1 |
Quadratic twists by: -3 5 -11 |