Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506x |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1335307842 = 2 · 38 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11+ -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-728,-7657] |
[a1,a2,a3,a4,a6] |
j |
50741013625/1587762 |
j-invariant |
L |
3.6834571900852 |
L(r)(E,1)/r! |
Ω |
0.92086429750345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55506u1 |
Quadratic twists by: 29 |