Atkin-Lehner |
2+ 3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966c |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-31193316 = -1 · 22 · 33 · 7 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11- -2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51,217] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:37:8] [8:29:1] |
Generators of the group modulo torsion |
j |
537367797/1155308 |
j-invariant |
L |
7.2363686493416 |
L(r)(E,1)/r! |
Ω |
1.4457158133612 |
Real period |
R |
0.41711567045571 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42966t1 |
Quadratic twists by: -3 |