Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440ca |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.5074927889488E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348468,273720944] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:7760:1] |
Generators of the group modulo torsion |
j |
24487529386319/183539412225 |
j-invariant |
L |
6.5253243610105 |
L(r)(E,1)/r! |
Ω |
0.15045136667655 |
Real period |
R |
5.4214565353857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440ex5 585f6 12480a6 |
Quadratic twists by: -4 8 -3 |