Atkin-Lehner |
3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
801c |
Isogeny class |
Conductor |
801 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
-1751787 = -1 · 39 · 89 |
Discriminant |
Eigenvalues |
0 3- 0 2 -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30,-90] |
[a1,a2,a3,a4,a6] |
Generators |
[8:13:1] |
Generators of the group modulo torsion |
j |
-4096000/2403 |
j-invariant |
L |
2.0400693564128 |
L(r)(E,1)/r! |
Ω |
0.99320602308684 |
Real period |
R |
0.51350608760716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12816k1 51264s1 267a1 20025l1 |
Quadratic twists by: -4 8 -3 5 |