Atkin-Lehner |
3- 13+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85527d |
Isogeny class |
Conductor |
85527 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1662338904848271 = -1 · 36 · 133 · 176 · 43 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2974,1959896] |
[a1,a2,a3,a4,a6] |
Generators |
[36:1435:1] |
Generators of the group modulo torsion |
j |
3991682340647/2280300280999 |
j-invariant |
L |
2.0516291574751 |
L(r)(E,1)/r! |
Ω |
0.36866066342822 |
Real period |
R |
1.8550294414188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9503a1 |
Quadratic twists by: -3 |