Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488da |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-887808 = -1 · 210 · 3 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 2 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,141] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] [4:3:1] |
Generators of the group modulo torsion |
j |
-34816/3 |
j-invariant |
L |
6.7831571788303 |
L(r)(E,1)/r! |
Ω |
2.7449702285616 |
Real period |
R |
1.2355611562281 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488bv1 13872o1 55488ej1 |
Quadratic twists by: -4 8 17 |