Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872w |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1512621929129084928 = 211 · 32 · 714 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2315952,-1356051852] |
[a1,a2,a3,a4,a6] |
j |
5701568801608514/6277868289 |
j-invariant |
L |
3.9164793442458 |
L(r)(E,1)/r! |
Ω |
0.12238997950768 |
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 |
12936n5 103488fm6 77616bs6 3696g5 |
Quadratic twists by: -4 8 -3 -7 |