Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650cg |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
154514394808593750 = 2 · 312 · 59 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-340992,-74186334] |
[a1,a2,a3,a4,a6] |
Generators |
[-381:753:1] |
Generators of the group modulo torsion |
j |
3079636311149/108520398 |
j-invariant |
L |
3.570441261975 |
L(r)(E,1)/r! |
Ω |
0.19799438127177 |
Real period |
R |
2.2541304243472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550cp2 97650es2 |
Quadratic twists by: -3 5 |