Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11730h |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-240732537840 = -1 · 24 · 39 · 5 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1529,-4627] |
[a1,a2,a3,a4,a6] |
Generators |
[37:304:1] |
Generators of the group modulo torsion |
j |
395301457715471/240732537840 |
j-invariant |
L |
5.0904210227654 |
L(r)(E,1)/r! |
Ω |
0.57333416170094 |
Real period |
R |
2.2196571226732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93840ca1 35190w1 58650w1 |
Quadratic twists by: -4 -3 5 |