Atkin-Lehner |
3- 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42021l |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
52216177041 = 36 · 7 · 233 · 292 |
Discriminant |
Eigenvalues |
1 3- 2 7- 2 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16056,787027] |
[a1,a2,a3,a4,a6] |
j |
627947704331137/71627129 |
j-invariant |
L |
3.2373094639701 |
L(r)(E,1)/r! |
Ω |
1.0791031546562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4669c1 |
Quadratic twists by: -3 |