Atkin-Lehner |
7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
42581m |
Isogeny class |
Conductor |
42581 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-1718296939667 = -1 · 711 · 11 · 79 |
Discriminant |
Eigenvalues |
0 -1 4 7- 11- -2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2679,32724] |
[a1,a2,a3,a4,a6] |
j |
18067226624/14605283 |
j-invariant |
L |
2.1657534558644 |
L(r)(E,1)/r! |
Ω |
0.54143836399222 |
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 |
6083d1 |
Quadratic twists by: -7 |