Atkin-Lehner |
2+ 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966h |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
203460446772198 = 2 · 37 · 7 · 118 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65241,6393519] |
[a1,a2,a3,a4,a6] |
j |
42127118642092177/279095263062 |
j-invariant |
L |
2.267711841818 |
L(r)(E,1)/r! |
Ω |
0.56692796044948 |
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 |
14322j3 |
Quadratic twists by: -3 |