Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560y |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
2.4815578026752E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8937453,-10256192548] |
[a1,a2,a3,a4,a6] |
Generators |
[-1509291838376:-4405192622838:887503681] |
Generators of the group modulo torsion |
j |
14383655824793536/45209390625 |
j-invariant |
L |
6.0993908703927 |
L(r)(E,1)/r! |
Ω |
0.087332959474859 |
Real period |
R |
17.460163113428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999926 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70560dk1 23520bl1 10080bb1 |
Quadratic twists by: -4 -3 -7 |