Atkin-Lehner |
3- 13+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85527c |
Isogeny class |
Conductor |
85527 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-117770679 = -1 · 36 · 13 · 172 · 43 |
Discriminant |
Eigenvalues |
1 3- 2 4 2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54,-513] |
[a1,a2,a3,a4,a6] |
Generators |
[5197034:104731923:12167] |
Generators of the group modulo torsion |
j |
23639903/161551 |
j-invariant |
L |
11.478325893154 |
L(r)(E,1)/r! |
Ω |
0.93027804370545 |
Real period |
R |
12.338597026091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9503b1 |
Quadratic twists by: -3 |