Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
85305n |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-303494972715 = -1 · 36 · 5 · 116 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1049,-22709] |
[a1,a2,a3,a4,a6] |
Generators |
[29:181:1] |
Generators of the group modulo torsion |
j |
71991296/171315 |
j-invariant |
L |
4.0696648213321 |
L(r)(E,1)/r! |
Ω |
0.50170819477233 |
Real period |
R |
0.67596809981133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
705c1 |
Quadratic twists by: -11 |