Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bl |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
2230526338224095232 = 226 · 34 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-629249,177971295] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:18207:1] [-23:13872:1] |
Generators of the group modulo torsion |
j |
4354703137/352512 |
j-invariant |
L |
10.476138178312 |
L(r)(E,1)/r! |
Ω |
0.25376267108335 |
Real period |
R |
2.5802007574595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488cp1 1734i1 3264h1 |
Quadratic twists by: -4 8 17 |