Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cb |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
6711611916240 = 24 · 33 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25055,1529760] |
[a1,a2,a3,a4,a6] |
Generators |
[121:505:1] |
Generators of the group modulo torsion |
j |
924093773824/3565485 |
j-invariant |
L |
6.1912635407429 |
L(r)(E,1)/r! |
Ω |
0.75282979827149 |
Real period |
R |
4.1119942082569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360co1 9240be1 |
Quadratic twists by: -4 -7 |