Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150bj |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
6538218750 = 2 · 36 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-567,3591] |
[a1,a2,a3,a4,a6] |
j |
1771561/574 |
j-invariant |
L |
1.2327869756667 |
L(r)(E,1)/r! |
Ω |
1.2327881647705 |
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 |
14350r1 5166bb1 |
Quadratic twists by: -3 5 |