Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150cc |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-4378582833660000000 = -1 · 28 · 33 · 57 · 76 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,401245,-23876253] |
[a1,a2,a3,a4,a6] |
Generators |
[99:4050:1] |
Generators of the group modulo torsion |
j |
16934400922773573/10378863013120 |
j-invariant |
L |
9.6969282065427 |
L(r)(E,1)/r! |
Ω |
0.14212044947158 |
Real period |
R |
0.71073282584381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150b3 25830d1 |
Quadratic twists by: -3 5 |