Atkin-Lehner |
3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115851q |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7968 |
Modular degree for the optimal curve |
Δ |
-115851 = -1 · 3 · 232 · 73 |
Discriminant |
Eigenvalues |
0 3- 1 0 3 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15,23] |
[a1,a2,a3,a4,a6] |
Generators |
[17:70:1] |
Generators of the group modulo torsion |
j |
-753664/219 |
j-invariant |
L |
9.1485263231002 |
L(r)(E,1)/r! |
Ω |
3.1505911978747 |
Real period |
R |
2.9037490831187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115851r1 |
Quadratic twists by: -23 |