Atkin-Lehner |
43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2021a |
Isogeny class |
Conductor |
2021 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
400 |
Modular degree for the optimal curve |
Δ |
-94987 = -1 · 43 · 472 |
Discriminant |
Eigenvalues |
-2 0 0 -4 -3 -7 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-65,202] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] [10:23:1] |
Generators of the group modulo torsion |
j |
-30371328000/94987 |
j-invariant |
L |
1.830209514617 |
L(r)(E,1)/r! |
Ω |
3.3919291750999 |
Real period |
R |
0.26978887531801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32336g1 129344a1 18189g1 50525b1 |
Quadratic twists by: -4 8 -3 5 |