Atkin-Lehner |
2+ 7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8806d |
Isogeny class |
Conductor |
8806 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3743526279197768 = 23 · 72 · 178 · 372 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46230,-2463124] |
[a1,a2,a3,a4,a6] |
Generators |
[287:2687:1] |
Generators of the group modulo torsion |
j |
10927229659521099625/3743526279197768 |
j-invariant |
L |
4.5777877677505 |
L(r)(E,1)/r! |
Ω |
0.33465668437757 |
Real period |
R |
1.7098820901578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70448k2 79254bg2 61642h2 |
Quadratic twists by: -4 -3 -7 |