Atkin-Lehner |
2+ 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85514i |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5211648 |
Modular degree for the optimal curve |
Δ |
-7.0341509239885E+20 |
Discriminant |
Eigenvalues |
2+ 2 -3 -3 11- 13- -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1875734,1613525204] |
[a1,a2,a3,a4,a6] |
Generators |
[13044:-779866:27] |
Generators of the group modulo torsion |
j |
-68825227396141/66331758592 |
j-invariant |
L |
3.6164571578274 |
L(r)(E,1)/r! |
Ω |
0.14661454623963 |
Real period |
R |
2.0555356678872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85514m1 |
Quadratic twists by: 13 |