Atkin-Lehner |
2+ 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966n |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-560602472000526648 = -1 · 23 · 312 · 74 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-318267,-77854851] |
[a1,a2,a3,a4,a6] |
j |
-4890708549113640625/769002019205112 |
j-invariant |
L |
0.79711357780637 |
L(r)(E,1)/r! |
Ω |
0.099639197205457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322l2 |
Quadratic twists by: -3 |