Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
42a |
Isogeny class |
Conductor |
42 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4 |
Modular degree for the optimal curve |
Δ |
-16128 = -1 · 28 · 32 · 7 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4,5] |
[a1,a2,a3,a4,a6] |
j |
-7189057/16128 |
j-invariant |
L |
0.8688618643742 |
L(r)(E,1)/r! |
Ω |
3.4754474574968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
336d1 1344g1 126b1 1050h1 |
Quadratic twists by: -4 8 -3 5 |