Atkin-Lehner |
3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2961c |
Isogeny class |
Conductor |
2961 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13366539605204541 = 311 · 7 · 476 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 2 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62181,-2147148] |
[a1,a2,a3,a4,a6] |
j |
36473145476813137/18335445274629 |
j-invariant |
L |
2.5492825727089 |
L(r)(E,1)/r! |
Ω |
0.31866032158862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376bu2 987e2 74025y2 20727q2 |
Quadratic twists by: -4 -3 5 -7 |