Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296cm |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2696573950104416256 = 212 · 326 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-376059,40457450] |
[a1,a2,a3,a4,a6] |
Generators |
[59486350:8755097065:2744] |
Generators of the group modulo torsion |
j |
1969718647361977/903077159859 |
j-invariant |
L |
6.9952929243385 |
L(r)(E,1)/r! |
Ω |
0.22901563867769 |
Real period |
R |
15.272522358577 |
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 |
2331a3 12432bk3 |
Quadratic twists by: -4 -3 |