Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ed |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
1.1122233444E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84364880,-293888162253] |
[a1,a2,a3,a4,a6] |
Generators |
[-5635:53361:1] |
Generators of the group modulo torsion |
j |
5829901703699110294321/97643750400000000 |
j-invariant |
L |
11.94746049452 |
L(r)(E,1)/r! |
Ω |
0.049865510354695 |
Real period |
R |
3.7436510481775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006407 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32550n2 19530k2 |
Quadratic twists by: -3 5 |