Atkin-Lehner |
2- 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040cq |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-2346504599040000 = -1 · 212 · 3 · 54 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20320,2053428] |
[a1,a2,a3,a4,a6] |
Generators |
[66:1920:1] |
Generators of the group modulo torsion |
j |
226523624554079/572877099375 |
j-invariant |
L |
7.3434356524754 |
L(r)(E,1)/r! |
Ω |
0.32155381773958 |
Real period |
R |
2.8546681944564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5565c1 |
Quadratic twists by: -4 |