Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184b |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
8 |
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 |
[0:30:1] |
Generators of the group modulo torsion |
j |
-21024576/190333 |
j-invariant |
L |
6.3697687754743 |
L(r)(E,1)/r! |
Ω |
1.4644640584705 |
Real period |
R |
2.1747781171654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184v1 82368l2 41184w1 |
Quadratic twists by: -4 8 -3 |