Atkin-Lehner |
3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108225n |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
71154352546875 = 39 · 56 · 132 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34655,-2441028] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:75:1] |
Generators of the group modulo torsion |
j |
404075127457/6246747 |
j-invariant |
L |
4.5946210578374 |
L(r)(E,1)/r! |
Ω |
0.35024012092732 |
Real period |
R |
3.2796221979752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999063652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36075c2 4329e2 |
Quadratic twists by: -3 5 |