Atkin-Lehner |
7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
42581j |
Isogeny class |
Conductor |
42581 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36624 |
Modular degree for the optimal curve |
Δ |
245470991381 = 710 · 11 · 79 |
Discriminant |
Eigenvalues |
0 2 -1 7- 11- 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3201,66583] |
[a1,a2,a3,a4,a6] |
Generators |
[1839:10783:27] |
Generators of the group modulo torsion |
j |
12845056/869 |
j-invariant |
L |
6.2434613301986 |
L(r)(E,1)/r! |
Ω |
0.96864476819164 |
Real period |
R |
6.4455634668313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42581a1 |
Quadratic twists by: -7 |