Atkin-Lehner |
3- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701s |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-123441724166607 = -1 · 32 · 79 · 112 · 532 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-66592,-6641377] |
[a1,a2,a3,a4,a6] |
Generators |
[552387:78728197:27] |
Generators of the group modulo torsion |
j |
-809297008759/3059001 |
j-invariant |
L |
5.4741891604004 |
L(r)(E,1)/r! |
Ω |
0.14856474156028 |
Real period |
R |
9.211790601939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85701e1 |
Quadratic twists by: -7 |