Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184v |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-328895424 = -1 · 26 · 33 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69,-900] |
[a1,a2,a3,a4,a6] |
Generators |
[13:20:1] |
Generators of the group modulo torsion |
j |
-21024576/190333 |
j-invariant |
L |
7.6840749585293 |
L(r)(E,1)/r! |
Ω |
0.72478495147988 |
Real period |
R |
2.650467198179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184b1 82368g2 41184c1 |
Quadratic twists by: -4 8 -3 |