Atkin-Lehner |
2+ 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488r |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-15150586457088 = -1 · 210 · 311 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 6 -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3853,-207395] |
[a1,a2,a3,a4,a6] |
j |
-73984000/177147 |
j-invariant |
L |
1.6962034240123 |
L(r)(E,1)/r! |
Ω |
0.28270057065222 |
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 |
55488ec1 6936f1 55488ba1 |
Quadratic twists by: -4 8 17 |