Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296n |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3221098791691721472 = -1 · 28 · 313 · 78 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161535,89892686] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:10692:1] |
Generators of the group modulo torsion |
j |
-2497791173218000/17259831488403 |
j-invariant |
L |
5.0740520160359 |
L(r)(E,1)/r! |
Ω |
0.21669553035244 |
Real period |
R |
2.9269477823231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648n2 12432c2 |
Quadratic twists by: -4 -3 |