Atkin-Lehner |
2+ 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582f |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2315323893618 = 2 · 32 · 176 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -2 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28183,1807915] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2065:1] |
Generators of the group modulo torsion |
j |
102568953241/95922 |
j-invariant |
L |
5.7567917648233 |
L(r)(E,1)/r! |
Ω |
0.81412574403846 |
Real period |
R |
1.7677833977398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997722487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438g2 |
Quadratic twists by: 17 |