Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150a |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-29081513171812500 = -1 · 22 · 39 · 56 · 73 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5711217,-5251986559] |
[a1,a2,a3,a4,a6] |
Generators |
[372198359577280:24618261521067883:66184391125] |
Generators of the group modulo torsion |
j |
-66988217452346091/94559612 |
j-invariant |
L |
4.5841864368805 |
L(r)(E,1)/r! |
Ω |
0.048830070717855 |
Real period |
R |
23.470099313231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150ca1 5166z2 |
Quadratic twists by: -3 5 |