Atkin-Lehner |
2- 3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
126540n |
Isogeny class |
Conductor |
126540 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-11988505893600000 = -1 · 28 · 310 · 55 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42312,6242884] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:-3078:1] [-232:1890:1] |
Generators of the group modulo torsion |
j |
-44889718349824/64238821875 |
j-invariant |
L |
12.392135963936 |
L(r)(E,1)/r! |
Ω |
0.3613312798196 |
Real period |
R |
0.19053207867162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42180g1 |
Quadratic twists by: -3 |