Atkin-Lehner |
7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
42581i |
Isogeny class |
Conductor |
42581 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25728 |
Modular degree for the optimal curve |
Δ |
-715658867 = -1 · 77 · 11 · 79 |
Discriminant |
Eigenvalues |
2 -1 0 7- 11+ 6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-408,-3291] |
[a1,a2,a3,a4,a6] |
Generators |
[968070:4413797:27000] |
Generators of the group modulo torsion |
j |
-64000000/6083 |
j-invariant |
L |
9.2056493804317 |
L(r)(E,1)/r! |
Ω |
0.52817273444204 |
Real period |
R |
8.7146200287631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6083f1 |
Quadratic twists by: -7 |