Atkin-Lehner |
3- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
85701bf |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46464 |
Modular degree for the optimal curve |
Δ |
-1440376707 = -1 · 3 · 77 · 11 · 53 |
Discriminant |
Eigenvalues |
2 3- 2 7- 11- 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,278,-311] |
[a1,a2,a3,a4,a6] |
Generators |
[19784:134837:512] |
Generators of the group modulo torsion |
j |
20123648/12243 |
j-invariant |
L |
19.695695955276 |
L(r)(E,1)/r! |
Ω |
0.87858694429993 |
Real period |
R |
5.6043673542343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12243f1 |
Quadratic twists by: -7 |