Atkin-Lehner |
3- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701r |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-5055416289 = -1 · 32 · 73 · 11 · 533 |
Discriminant |
Eigenvalues |
1 3- 3 7- 11+ 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,373,2027] |
[a1,a2,a3,a4,a6] |
Generators |
[270:1709:8] |
Generators of the group modulo torsion |
j |
16796884481/14738823 |
j-invariant |
L |
13.185945708812 |
L(r)(E,1)/r! |
Ω |
0.8878725616023 |
Real period |
R |
3.7127923183782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85701c1 |
Quadratic twists by: -7 |