Atkin-Lehner |
7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
42679a |
Isogeny class |
Conductor |
42679 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
205056 |
Modular degree for the optimal curve |
Δ |
-8122055305819 = -1 · 77 · 133 · 672 |
Discriminant |
Eigenvalues |
-2 2 3 7- 0 13+ 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-35394,-2554868] |
[a1,a2,a3,a4,a6] |
j |
-41680861032448/69036331 |
j-invariant |
L |
2.7842805474859 |
L(r)(E,1)/r! |
Ω |
0.17401753421476 |
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 |
6097a1 |
Quadratic twists by: -7 |