Atkin-Lehner |
2- 3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
126936c |
Isogeny class |
Conductor |
126936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-2158687832832 = -1 · 28 · 314 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -2 4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39900,-3068476] |
[a1,a2,a3,a4,a6] |
Generators |
[328:4374:1] [640:15282:1] |
Generators of the group modulo torsion |
j |
-37642192000000/11567043 |
j-invariant |
L |
12.131760579664 |
L(r)(E,1)/r! |
Ω |
0.16889559757049 |
Real period |
R |
8.9787424556313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42312c1 |
Quadratic twists by: -3 |