Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974o |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.4840527134126E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-388473553,-2952923939215] |
[a1,a2,a3,a4,a6] |
Generators |
[59720:13639025:1] |
Generators of the group modulo torsion |
j |
-42842117160045582625/98064578635272 |
j-invariant |
L |
9.7693205080789 |
L(r)(E,1)/r! |
Ω |
0.017000810849506 |
Real period |
R |
5.3207268860196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95922d4 438a4 |
Quadratic twists by: -3 73 |