Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320cv |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
3107838335385600 = 236 · 33 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57025,-4522177] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:855:1] |
Generators of the group modulo torsion |
j |
78232514242609/11855462400 |
j-invariant |
L |
8.2732709572562 |
L(r)(E,1)/r! |
Ω |
0.31208749563575 |
Real period |
R |
4.4182433199734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320h1 16080m1 |
Quadratic twists by: -4 8 |