Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680dc |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
1868413181250000 = 24 · 3 · 58 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51711,-4037286] |
[a1,a2,a3,a4,a6] |
Generators |
[275:1617:1] |
Generators of the group modulo torsion |
j |
8124052043776/992578125 |
j-invariant |
L |
6.4037978741921 |
L(r)(E,1)/r! |
Ω |
0.31912901633729 |
Real period |
R |
2.5083107245716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360u1 9240u1 |
Quadratic twists by: -4 -7 |