Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560i |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
1.0916005340368E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -3 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11564161,-15139306045] |
[a1,a2,a3,a4,a6] |
Generators |
[-38502027:13882582:19683] |
Generators of the group modulo torsion |
j |
668076464942257101374464/42640645860812685 |
j-invariant |
L |
6.0794048119441 |
L(r)(E,1)/r! |
Ω |
0.081869602621138 |
Real period |
R |
3.0940486544465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120g1 |
Quadratic twists by: -4 |