Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550be |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-956429775000000 = -1 · 26 · 38 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18333,-1145259] |
[a1,a2,a3,a4,a6] |
Generators |
[174:2613:1] |
Generators of the group modulo torsion |
j |
59822347031/83966400 |
j-invariant |
L |
3.8580991688093 |
L(r)(E,1)/r! |
Ω |
0.26341183575257 |
Real period |
R |
1.8308303980399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850bp1 10710bm1 |
Quadratic twists by: -3 5 |