Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350by |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
19804687500 = 22 · 3 · 510 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-493763,-133750219] |
[a1,a2,a3,a4,a6] |
j |
8066639494225/12 |
j-invariant |
L |
3.2418462919133 |
L(r)(E,1)/r! |
Ω |
0.18010257177295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050bk2 25350bs2 25350f2 |
Quadratic twists by: -3 5 13 |