Atkin-Lehner |
3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701bc |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-123441724166607 = -1 · 32 · 79 · 112 · 532 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 11- -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6371,568728] |
[a1,a2,a3,a4,a6] |
j |
-243087455521/1049237343 |
j-invariant |
L |
2.0473914578483 |
L(r)(E,1)/r! |
Ω |
0.51184786264641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12243d1 |
Quadratic twists by: -7 |