Atkin-Lehner |
2- 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11730k |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-8255574000 = -1 · 24 · 33 · 53 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-451,5681] |
[a1,a2,a3,a4,a6] |
Generators |
[8:47:1] |
Generators of the group modulo torsion |
j |
-10146436022449/8255574000 |
j-invariant |
L |
7.3443954586882 |
L(r)(E,1)/r! |
Ω |
1.2008741197064 |
Real period |
R |
0.50965621196028 |
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 |
93840bf1 35190z1 58650i1 |
Quadratic twists by: -4 -3 5 |