Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296k |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
64383040512 = 210 · 38 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,-2014] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:54:1] [-5:54:1] |
Generators of the group modulo torsion |
j |
153091012/86247 |
j-invariant |
L |
7.9814578042077 |
L(r)(E,1)/r! |
Ω |
0.91157782021565 |
Real period |
R |
2.1889129011277 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648l2 12432b2 |
Quadratic twists by: -4 -3 |