Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664s |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2448723399671808 = 218 · 316 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82817,8886657] |
[a1,a2,a3,a4,a6] |
j |
239633492476897/9341138457 |
j-invariant |
L |
3.635942557392 |
L(r)(E,1)/r! |
Ω |
0.45449281969012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664dn3 651d4 124992cs3 |
Quadratic twists by: -4 8 -3 |