Atkin-Lehner |
2- 3+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
65136i |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
3451686912 = 212 · 33 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,1584] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:46:1] [-14:66:1] |
Generators of the group modulo torsion |
j |
1838265625/842697 |
j-invariant |
L |
7.7108286657255 |
L(r)(E,1)/r! |
Ω |
1.2616443396518 |
Real period |
R |
3.0558646455984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4071a1 |
Quadratic twists by: -4 |