Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240s |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
7466681250000 = 24 · 34 · 58 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6791,168384] |
[a1,a2,a3,a4,a6] |
Generators |
[218:525:8] |
Generators of the group modulo torsion |
j |
2165054687647744/466667578125 |
j-invariant |
L |
6.6800894935681 |
L(r)(E,1)/r! |
Ω |
0.70142991243803 |
Real period |
R |
4.7617654840634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120t1 |
Quadratic twists by: -4 |