Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64960t |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-397880000 = -1 · 26 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -4 4 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,65,917] |
[a1,a2,a3,a4,a6] |
Generators |
[4:35:1] |
Generators of the group modulo torsion |
j |
467288576/6216875 |
j-invariant |
L |
4.5294589934718 |
L(r)(E,1)/r! |
Ω |
1.2482182550911 |
Real period |
R |
0.3023949654587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64960l1 32480a1 |
Quadratic twists by: -4 8 |