Atkin-Lehner |
3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241x |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
12855297 = 3 · 73 · 13 · 312 |
Discriminant |
Eigenvalues |
1 3- 0 7- -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1461,-21605] |
[a1,a2,a3,a4,a6] |
j |
1004506753375/37479 |
j-invariant |
L |
3.0891114631622 |
L(r)(E,1)/r! |
Ω |
0.77227786603795 |
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 |
59241h2 |
Quadratic twists by: -7 |