Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312z |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-506249216 = -1 · 214 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,164,-720] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] |
Generators of the group modulo torsion |
j |
29773872/30899 |
j-invariant |
L |
2.4435642115928 |
L(r)(E,1)/r! |
Ω |
0.89647238547381 |
Real period |
R |
2.7257551389062 |
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 |
37312a2 9328a2 |
Quadratic twists by: -4 8 |