Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488bx |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-702202736107585536 = -1 · 225 · 3 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 3 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45855,-40124289] |
[a1,a2,a3,a4,a6] |
Generators |
[7260991:1553664:24389] |
Generators of the group modulo torsion |
j |
5831/384 |
j-invariant |
L |
9.8063017365569 |
L(r)(E,1)/r! |
Ω |
0.13641563706031 |
Real period |
R |
5.9904555590798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488dd1 1734d1 55488g1 |
Quadratic twists by: -4 8 17 |