Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150r |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-219814914375000000 = -1 · 26 · 36 · 510 · 7 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180117,37119541] |
[a1,a2,a3,a4,a6] |
Generators |
[258:2659:1] |
Generators of the group modulo torsion |
j |
-90774028825/30876608 |
j-invariant |
L |
4.3813703392252 |
L(r)(E,1)/r! |
Ω |
0.29723437731155 |
Real period |
R |
2.4567427187707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350j2 129150dy2 |
Quadratic twists by: -3 5 |