Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800m |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
236600000000 = 29 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,39812] |
[a1,a2,a3,a4,a6] |
j |
193100552/29575 |
j-invariant |
L |
3.7945872908418 |
L(r)(E,1)/r! |
Ω |
0.94864682327406 |
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 |
72800bi2 14560l2 |
Quadratic twists by: -4 5 |