Atkin-Lehner |
2+ 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
13706h |
Isogeny class |
Conductor |
13706 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3347224496 = 24 · 74 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11- 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1029,-12835] |
[a1,a2,a3,a4,a6] |
j |
120678285194713/3347224496 |
j-invariant |
L |
3.3770426993013 |
L(r)(E,1)/r! |
Ω |
0.84426067482534 |
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 |
109648k2 123354bx2 95942q2 |
Quadratic twists by: -4 -3 -7 |