Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680bf |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1953313876206000 = -1 · 24 · 34 · 53 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3495,2126718] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1470:1] |
Generators of the group modulo torsion |
j |
-2508888064/1037680875 |
j-invariant |
L |
9.3149530819881 |
L(r)(E,1)/r! |
Ω |
0.3789830421104 |
Real period |
R |
1.0241171819207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360bk1 9240c1 |
Quadratic twists by: -4 -7 |