Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050d |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
863220777890625000 = 23 · 34 · 510 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-804990375,-8791251721875] |
[a1,a2,a3,a4,a6] |
j |
2084105208962185000201/31185000 |
j-invariant |
L |
1.8139765929736 |
L(r)(E,1)/r! |
Ω |
0.028343395876839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cx4 11550bq4 |
Quadratic twists by: 5 -11 |