Atkin-Lehner |
2+ 3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398a |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
4.179662415338E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4605370,2187959956] |
[a1,a2,a3,a4,a6] |
j |
10802330045575377428211625/4179662415338035304448 |
j-invariant |
L |
1.2626306410149 |
L(r)(E,1)/r! |
Ω |
0.12626306410149 |
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 |
107184cy2 40194bo2 93786bh2 |
Quadratic twists by: -4 -3 -7 |