Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200cc |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-219643084800000000 = -1 · 221 · 32 · 58 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80792,20716912] |
[a1,a2,a3,a4,a6] |
Generators |
[73:5196:1] |
Generators of the group modulo torsion |
j |
36450495095/137276928 |
j-invariant |
L |
5.0148362049998 |
L(r)(E,1)/r! |
Ω |
0.22416778290018 |
Real period |
R |
5.5927262830988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4650v2 111600fs2 37200cs2 |
Quadratic twists by: -4 -3 5 |