Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150de |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-13941171585937500 = -1 · 22 · 3 · 59 · 296 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63513,-8385483] |
[a1,a2,a3,a4,a6] |
j |
-24389/12 |
j-invariant |
L |
7.3464477388791 |
L(r)(E,1)/r! |
Ω |
0.14692898325679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126150n1 150b1 |
Quadratic twists by: 5 29 |