Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25230g |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
300147847776600 = 23 · 3 · 52 · 298 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110189,-14062864] |
[a1,a2,a3,a4,a6] |
j |
248739515569/504600 |
j-invariant |
L |
2.0965652476323 |
L(r)(E,1)/r! |
Ω |
0.26207065595404 |
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 |
75690bo2 126150bx2 870e2 |
Quadratic twists by: -3 5 29 |