Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150r |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-400465898437500 = -1 · 22 · 36 · 510 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16758,-483584] |
[a1,a2,a3,a4,a6] |
Generators |
[4530:69322:27] |
Generators of the group modulo torsion |
j |
73105175/56252 |
j-invariant |
L |
4.3813703392252 |
L(r)(E,1)/r! |
Ω |
0.29723437731155 |
Real period |
R |
7.370228156312 |
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 |
14350j1 129150dy1 |
Quadratic twists by: -3 5 |