Atkin-Lehner |
2+ 3- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698m |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-204278597363036574 = -1 · 2 · 318 · 7 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,144864,-4778618] |
[a1,a2,a3,a4,a6] |
j |
461185788415532543/280217554681806 |
j-invariant |
L |
2.9427650538884 |
L(r)(E,1)/r! |
Ω |
0.18392281586054 |
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 |
13566l4 |
Quadratic twists by: -3 |