Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
11440k |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-2495107563520000000 = -1 · 234 · 57 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,144464,-72952236] |
[a1,a2,a3,a4,a6] |
Generators |
[9692:954902:1] |
Generators of the group modulo torsion |
j |
81402860249195471/609157120000000 |
j-invariant |
L |
1.84986789269 |
L(r)(E,1)/r! |
Ω |
0.12794283087951 |
Real period |
R |
7.2292752941825 |
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 |
1430f1 45760bv1 102960ex1 57200be1 |
Quadratic twists by: -4 8 -3 5 |