Atkin-Lehner |
2+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646r |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
204934709366912 = 27 · 78 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 4 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37216,2660736] |
[a1,a2,a3,a4,a6] |
j |
48455467135993/1741916288 |
j-invariant |
L |
2.238265472264 |
L(r)(E,1)/r! |
Ω |
0.55956636785368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378b2 |
Quadratic twists by: -7 |