Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650dc |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-2.1666690321545E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,59542870,-137420216503] |
[a1,a2,a3,a4,a6] |
Generators |
[81549:23347975:1] |
Generators of the group modulo torsion |
j |
2049582747886536648239/1902151139340060000 |
j-invariant |
L |
9.8507262314002 |
L(r)(E,1)/r! |
Ω |
0.037201309138809 |
Real period |
R |
3.309939367786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550s2 19530o2 |
Quadratic twists by: -3 5 |