Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360t |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51573415495680 = 211 · 318 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27147,-1686566] |
[a1,a2,a3,a4,a6] |
j |
1481943889298/34543665 |
j-invariant |
L |
2.9797212877948 |
L(r)(E,1)/r! |
Ω |
0.37246516097436 |
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 |
4680t4 37440dt3 3120h4 46800o3 |
Quadratic twists by: -4 8 -3 5 |