Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150bg |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-459734851406250 = -1 · 2 · 36 · 57 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2583,-1031009] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2306:1] |
Generators of the group modulo torsion |
j |
167284151/40360810 |
j-invariant |
L |
5.1276582662034 |
L(r)(E,1)/r! |
Ω |
0.24788219643236 |
Real period |
R |
2.5857334017426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14350u2 25830be2 |
Quadratic twists by: -3 5 |