Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bl |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1278779906250000 = 24 · 312 · 59 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29313,866031] |
[a1,a2,a3,a4,a6] |
j |
178272935636041/81841914000 |
j-invariant |
L |
1.733244102518 |
L(r)(E,1)/r! |
Ω |
0.4333110256295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400hi1 34650q1 2310l1 80850fw1 |
Quadratic twists by: -4 -3 5 -7 |