Atkin-Lehner |
2- 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240dh |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-47205672998400000 = -1 · 212 · 36 · 55 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4600,10452500] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:3150:1] [-205:1680:1] |
Generators of the group modulo torsion |
j |
-2628643361401/11524822509375 |
j-invariant |
L |
12.919848259101 |
L(r)(E,1)/r! |
Ω |
0.28728420187797 |
Real period |
R |
0.2498464388371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4515d1 |
Quadratic twists by: -4 |