Atkin-Lehner |
3- 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42021c |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
488448 |
Modular degree for the optimal curve |
Δ |
-171618008121 = -1 · 37 · 76 · 23 · 29 |
Discriminant |
Eigenvalues |
1 3- -3 7+ 5 -3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1848411,-966804062] |
[a1,a2,a3,a4,a6] |
j |
-958058325128565115057/235415649 |
j-invariant |
L |
2.0716667235407 |
L(r)(E,1)/r! |
Ω |
0.064739585116898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14007c1 |
Quadratic twists by: -3 |