Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488cd |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
5018684261004214272 = 224 · 36 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4726113,-3951571455] |
[a1,a2,a3,a4,a6] |
j |
1845026709625/793152 |
j-invariant |
L |
0.409585635288 |
L(r)(E,1)/r! |
Ω |
0.10239640905001 |
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 |
55488bc1 13872be1 3264x1 |
Quadratic twists by: -4 8 17 |