Atkin-Lehner |
2- 3- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
97128k |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-117275644889856 = -1 · 28 · 314 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8916,408004] |
[a1,a2,a3,a4,a6] |
Generators |
[80:1278:1] |
Generators of the group modulo torsion |
j |
420016544768/628406019 |
j-invariant |
L |
3.8127624349308 |
L(r)(E,1)/r! |
Ω |
0.40090990085678 |
Real period |
R |
1.1887840710872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32376c1 |
Quadratic twists by: -3 |