Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
15708c |
Isogeny class |
Conductor |
15708 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-14933213471860992 = -1 · 28 · 314 · 72 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-617372,187008888] |
[a1,a2,a3,a4,a6] |
j |
-101654178885786969808/58332865124457 |
j-invariant |
L |
2.3373121370379 |
L(r)(E,1)/r! |
Ω |
0.38955202283964 |
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 |
62832br2 47124t2 109956y2 |
Quadratic twists by: -4 -3 -7 |