Atkin-Lehner |
2+ 5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15470c |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.5556248E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,284661,280895286] |
[a1,a2,a3,a4,a6] |
j |
2550996232928217553751/35556248000000000000 |
j-invariant |
L |
1.833853720888 |
L(r)(E,1)/r! |
Ω |
0.15282114340734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123760w2 77350w2 108290p2 |
Quadratic twists by: -4 5 -7 |