Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910y |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
23328 |
Modular degree for the optimal curve |
Δ |
-267082240 = -1 · 29 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 5 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,79,745] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-41:1] |
Generators of the group modulo torsion |
j |
188522639/924160 |
j-invariant |
L |
6.1962785849332 |
L(r)(E,1)/r! |
Ω |
1.2526792686495 |
Real period |
R |
0.2748011464514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54910bk1 |
Quadratic twists by: 17 |