Atkin-Lehner |
2- 3+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
4242b |
Isogeny class |
Conductor |
4242 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1456 |
Modular degree for the optimal curve |
Δ |
-21646926 = -1 · 2 · 37 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28,-205] |
[a1,a2,a3,a4,a6] |
j |
2422300607/21646926 |
j-invariant |
L |
2.1272595883847 |
L(r)(E,1)/r! |
Ω |
1.0636297941923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33936f1 12726e1 106050q1 29694l1 |
Quadratic twists by: -4 -3 5 -7 |