Atkin-Lehner |
2- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
74200o |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-78652000000 = -1 · 28 · 56 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,492,-12988] |
[a1,a2,a3,a4,a6] |
j |
3286064/19663 |
j-invariant |
L |
2.1724536217392 |
L(r)(E,1)/r! |
Ω |
0.54311341164332 |
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 |
2968b2 |
Quadratic twists by: 5 |